This area is equivalent to the median angle. Examples. You can find it by using proportions, all you need to remember is circle area formula (and we bet you do! What is a Variable? Whenever you want to find area of a sector of a circle (a portion of the area), you will use the sector area formula: Now that you know the formulas and what they are used for, let’s work through some example problems! This free area calculator determines the area of a number of common shapes using both metric units and US customary units of length, including rectangle, triangle, trapezoid, circle, sector, ellipse, and parallelogram. With these measurements finding the area of a sector is a simple matter of plugging the numbers into given formulas. Using Radius to Find Area Identify the radius of a circle. For a more detailed explanation, please click on the attached Arc Lengths & Sector Areas Theory Guide in a Nutshell. In order to find the area of this piece, you need to know the length of the circle's radius. Loading... Save for later. It’s a percent or portion of a disk that is enclosed by that arc and two equal radii. The total area of a circle is πR 2 corresponding to an angle of 2π radians for the full circle. Note: A circular sector or circle sector, is the portion of a disk enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger being the major sector. Subscribe to our channel for free! That gives you the circumference. Examples. Now that you know the formulas and what they are used for, let’s work through some example problems! Here’s the formal solution: Find the area of circle segment IK. Next, take the radius, or length of one of the lines, square it, and multiply it by 3.14. Divide the central angle by 360. Free. Through an example question, we'll demonstrate how the relationship between the area of a section and total area can help you find the section's area. Double the radius, then multiply by pi. In simple terms it looks like a slice of pie. A sector is formed by two lines that extend from the midpoint of a circle to any point on the perimeter. Related Topics. Then check out this tutorial! Our area of a sector calculator is flexible and reliable. To find the area of the sector, I need the measure of the central angle, which they did not give me. We use cookies to make wikiHow great. Multiply that fraction by 360°. Therefore, to get the area of this slice of pizza, you will need to find the area of the circle and then divide the result by 4. the whole circle = πr^2 Whenever you want to find the length of an arc of a circle (a portion of the circumference), you will use the arc length formula: Where θ equals the measure of the central angle that intercepts the arc and r equals the length of the radius. Welcome to this free lesson guide that accompanies this Arc Length and Sector Area Explained! or A = rl / 2 square units. As indicated above, if you don't know the central angle, you have to know the radius and the arc length. Watch and learn how to find the area of a given sector of a circle. About this resource . Given, Question 8 : Find the area of the sector whose radius is 20 cm and perimeter is 110 cm. Solution : The given values. For example, if the arc length is 5 cm and the radius is 8 cm, your new numerator will be 40. How do I find the area of a segment that does not have degrees? Measuring the diameter is easier in many practical situations, so another convenient way to write the formula is (angle / 360) x π x (diameter / 2)2. 350 divided by 360 is 35/36. The area of the circle is equal to the radius square times . The following video lesson covers topics including: using the arc length and sector area equations to solve real-world problems. That gives you the sector area. By signing up you are agreeing to receive emails according to our privacy policy. If the angle is 360 degrees then the sector is a full circle. © MashUp Math, LLC | All Rights Reserved | Privacy Policy | Copyright Information |Contact, Arc Length and Sector Area Explained! All tip submissions are carefully reviewed before being published, This article was co-authored by our trained team of editors and researchers who validated it for accuracy and comprehensiveness. The area of a sector along an arc is also known as the circular sector. Explanation: . To calculate the area of a sector, start by finding the central angle of the sector and dividing it by 360. Then, the area of a sector of circle formula is calculated using the unitary method. A sector is an area formed between the two segments also called as radii, which meets at the center of the circle. Watch and learn how to find the area of a given sector of a circle. Keywords: sector; area; radius; solve for sector; pi; shaded region; central angle; Background Tutorials. Apart from that it is helpful in mathematical geometry problems etc. Multiplying Polynomials: The Complete Guide. By using this service, some information may be shared with YouTube. To find the area of a sector of a circle of radius of 4 centimeters and central angle measure of : Step 1: Find the area of the circle. Find the Radius of a Circle . Questions 1: For a given circle of radius 4 units, the angle of its sector is 45°. where 'l' is the length of the minor arc AB. What is the central angle if the radius is 7 cm and the area of a sector is 15 cm squared? The Best Free Printable 5th Grade Math Worksheets (and Answers! Calculate the area of a slice of pizza when the chef made all the slices with an angle of 45° b. by Anthony Persico. Please also find in the section below several worksheets and solutions on this topic to help your understanding. Please consider making a contribution to wikiHow today. You can often find me happily developing animated math lessons to share on my YouTube channel . Please input radius of the circle and the central angle in degrees, then click Calculate Area of Sector button. Examples to find the angle of a sector given its area or arc length. What is the area of a sector bounded by an arc of 60 degrees with a radius of 3 feet? Tutorial where you will learn the answers to the following key questions and information: What is the arc length formula? For example, if the central angle is 100 degrees, you will divide 100 by 360, to get 0.28. In this video, I explain the definition of a sector and how to find the sector area of a circle. A sector is a part of a circle that is shaped like a piece of pizza or pie. So the area of the sector over the total area is equal to the degrees in the central angle over the total degrees in a circle. Calculate the area of a sector when the angle made by the radii is 60° A = 60° / 360° × 3.14 × 5 2. Using this formula, and approximating , the area of the circle is . Videos, worksheets, 5-a-day and much more This article has been viewed 122,271 times. In addition to the radius, you need to know either the degree of the central angle, or the length of the arc. Let this region be a sector forming an angle of 360° at the centre O. The angle between the two radii is called as the angle of surface and is used to find the radius of the sector. Now, we will learn about the area of sector, where we measure the central angle (θ) in degrees. Read more. Sector. Every day at wikiHow, we work hard to give you access to instructions and information that will help you live a better life, whether it's keeping you safer, healthier, or improving your well-being. How to Calculate The Area of Sector with This Tool? But, if we measure the angle of a circle in radians, the area of sector formula will be AreaofSectorAreaof… What Is The Area of Sector Formula? To find the segment area, you need the area of triangle IDK so you can subtract it from the area of sector IDK. You'll see how to use given information and the formula for the area of a sector to find the answer. About Arc Length & Sector Area. In the case of arc length and sector area, you will only be dealing with a portion of a circle. How to use Area of a Sector Calculator? The total area of a circle is πR 2 corresponding to an angle of 2π radians for the full circle. formula to find sector area = (π r 2 θ) / 360. substitute the values. How can I find the area of a sector of a circle? If you're seeing this message, it means we're having trouble loading external resources on our website. Whenever you want to find area of a sector of a circle (a portion of the area), you will use the sector area formula: Where θ equals the measure of the central angle that intercepts the arc and r equals the length of the radius. You cannot find the area of a sector if you do not know the radius of the circle. Note: Trying to find the area of a sector of a circle? Just kidding! We can use this to solve for the circumference of the circle, , or . Our area of a sector calculator can be used to find sector area of a pizza, dress, land or whatever you want. What is the sector area formula? See how to find the area of the sector (blue area). To find the segment area, you need the area of triangle IDK so you can subtract it from the area of sector IDK. The formula to find the area of a sector is A = N/360 x (pi x r^2). The only two ways of finding a sector's area are shown above. Then, the area of a sector of circle formula is calculated using the unitary method. What is the arc length equation? Standard questions with diagrams progressing to worded questions. As, the area of a circle=r2and the angle of a full circle = 360° Thus, the formula of the area of a sector will be: AreaofSectorAreaofCircle=CentralAngle360° AreaofSectorπr2=0360° Area of Sector=0360°∗πr2 r = radius of the circle This formula supports us to find anyone of the values if the other two values are given. Before you can use the Sector Area Formula, you will have to find the value of θ (the central angle that intercepts arc AB, which is the arc of the shaded region ) and the length of the radius of circle K. Now, we know both our variables, so we simply need to plug them in and simplify. Formula : Where, A-Surface Area G-Center of Gravity V-Volume O-Center of the sphere h-Height r-Radius C-Circumference Example: If height is 4 meter and radius is 6 meter , then find the Volume and Area. If the angle is θ, then this is θ/2π the fraction of the full angle for a circle. The following is the calculation formula for the area of a sector: Where: A = area of a sector π = 3.141592654 r = radius of the circle θ = central angle in degrees. To find the area of the sector of a circle of radius 2 centimeters and central angle measure of radians. If the angle is 180 degrees then the sector is a semi-circle. Formula to find perimeter of the sector is = l + 2r. This article was co-authored by our trained team of editors and researchers who validated it for accuracy and comprehensiveness. To understand how to calculate the area of such a sector, it’s important to understand the formula that it uses, which is given above. 5 Awesome (and 100% Free) 6th Grade Algebra Resources! So we have to use the second formula to find the area of the given sector. How to Calculate the Area of a Sector of a Circle. Formula to find length of the arc is l = θ/36 0 ° ⋅ 2 ∏ r. Formula to find area of sector is A = θ/360 ° ⋅ ∏r 2 square units. In the formula given, A is the area of the sector, N is the degree of the central angle of the sector, pi is an irrational number that can be rounded to 3.14, and r is the length of the radius of the circle. Then, multiply the two numbers to get the area of the sector. Evaluating Expressions . The angle of the sector is 150º. or A = rl / 2 square units. Example 1: A sector is cut from a circle of radius 21 cm. Circle sector area calculator - step by step calculation, formulas & solved example problem to find the area of circle sector given input values of corcle radius & the sector angle in degrees in different measurement units between inches (in), feet (ft), meters (m), centimeters (cm) & millimeters (mm). Python Math: Exercise-8 with Solution. This Complete Guide to Arc Length and Sector Area includes several examples, a step-by-step tutorial, an animated video mini-lesson, and a free equation of a circle worksheet and answer key. Please consider making a contribution to wikiHow today. The area of a circle is the number of square units it takes to fill up the inside of the circle. You don't. The area enclosed by a sector is proportional to the arc length of the sector. Find the area of sector IDK. Solution : radius = 20 cm Anthony is the content crafter and head educator for YouTube's MashUp Math. For more on this seeVolume of a horizontal cylindrical segment. Sol. In the formula given, A is the area of the sector, N is the degree of the central angle of the sector, pi is an irrational number that can be rounded to 3.14, and r is the length of the radius of the circle. In this case the angle is [(15 cm²)(360°)] / [(3.14)(7² cm²)] = 35.1°. But what about θ ? A sector of a circle is essentially a proportion of the circle that is enclosed by two radii and … Since you are finding the area, the answer will be in square centimeters. You'll see how to use given information and the formula for the area of a sector to find the answer. You may have to do a little preliminary mathematics to get to the radius. The radius is the length from the center of a … the whole circle = \(πr^2\) When the angle is 1°, area of sector … Please help us continue to provide you with our trusted how-to guides and videos for free by whitelisting wikiHow on your ad blocker. Sol. A sector is a section of a circle. To calculate the sector area, first calculate what fraction of a full turn the angle is. https://www.bbc.com/bitesize/guides/zwcqcj6/revision/2, https://www.youtube.com/watch?v=cAOVS2DTU0U, http://www.mathopenref.com/arcsectorarea.html, https://www.onlinemath4all.com/how-to-find-the-area-of-the-sector.html, Calcolare l'Area di un Settore di un Cerchio, consider supporting our work with a contribution to wikiHow. Tutorial, The Best Free Math Worksheets for 1st Grade Students. Plug the sector's central angle measurement into the formula. Step 2: Use the proportional relationship. The formula for sector area is simple - multiply the central angle by the radius squared, and divide by 2: Sector Area = r² * α / 2; But where does it come from? Share your thoughts in the comments section below! Example 1 : Find the perimeter of the sector PQR shown below. Find the area of circle segment IK. Draw an altitude straight down from D to segment IK. Circle; Perimeter; Polygons; Quadrilaterals; Special Points; Discover Resources. Then check out this tutorial! The arc length l and area A of a sector of angle θ in a circle of radius r are given by How do I find the angle of a sector if I have arch length and radius? Example 1 : Find the perimeter of the sector PQR shown below. Relate the area of a sector to the area of a whole circle and the central angle measure. Divide the length of the arc by the length of the circumference. Now that you know the value of θ and r, you can substitute those values into the Arc Length Formula and solve as follows: Notice that this question is asking you to find the area of a sector of circle K, so you will have to use the Sector Area Formula to solve it! A circle has a radius of 5 cm. 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\n<\/p><\/div>"}. How can I find the length of an arc of a circle? Our sector area calculator can help you calculate the area of a sector. Before you can use the Sector Area Formula, you will have to find the value of θ (the central angle that intercepts arc AB, which is the arc of the shaded region) and the length of the radius of circle K. You already know that the radius r is equal to 5. Thanks to all authors for creating a page that has been read 122,271 times. A = 60° / 360° × 3.14 × 25 A = 60° / 360° × 78.5 A = 0.166 × 78.5 = 13.06 cm 2 Example #2: A pizza has a diameter of 14 inches. Have thoughts? If you don't know the length of the radius, but you know the diameter, simply divide the diameter by 2 to find the radius. Area of the sector = (1/2) x l r square units = (1/2) x 77 x 35 ==> 38.5 x 35 ==> 1347.5 square units. As shown above, the formula is (60°/360°) π (3)² = (1/6)(3.14159)(9). Our sector area calculator can help you calculate the area of a sector. Find the length of its arc and area. A sector is a section of a circle. In this video, I explain the definition of a sector and how to find the sector area of a circle. The angle of the sector is 150º. How to Find Area of a Sector. This calculation is useful as part of the calculation of the volume of liquid in a partially-filled cylindrical tank. You can find the measure of ∠AKB as follows: Now that you know the value of θ and r, you can substitute those values into the Sector Area Formula and solve as follows: Check out the video lesson below to learn more about the arc length and sector area formulas and to see more completing the square problems solved step-by-step: Looking for more advanced practice with arc length and sector area? The Area of A Sector Calculator is used to help you find the area of a sector of a circle. There are two special cases. The area of the square is straightforward: 30 * 30 = 900 square feet Because each side is 30 feet long, AB + BC + CD = 30. When the angle at the centre is 360°, area of the sector, i.e., the complete circle = πr² It is enclosed by the two radii from the center of the sphere. Sometimes you might need to determine the area under an arc, or the area of a sector. = 70.71 cm2. Therefore, the area of the circle is 113.04 inches squared. wikiHow's. The formula for area, A A, of a circle with radius, r, and arc length, L L, is: A = (r × L) 2 A = (r × L) 2 Here is a three-tier birthday cake 6 6 inches tall with a diameter of 10 10 inches. Be careful, though; you may be able to find the radius if you have either the diameter or the circumference. This is a great starting point. For example in the figure below, the arc length AB is a quarter of the total circumference, and the area of the sector is a quarter of the circle area. By using our site, you agree to our. (Easy to Print), Free Decimal to Fraction Chart (Printable PDF), Easy Guide to Adding and Subtracting Fractions with Unlike Denominators. Formula to find length of the arc is l = θ/36 0 ° ⋅ 2 ∏ r. Formula to find area of sector is A = θ/360 ° ⋅ ∏r 2 square units. Solution: Given, radius r = 4 units. Visit www.doucehouse.com for more videos like this. For example, if the central angle is 100 degrees and the radius is 5, you would divide 100 by 360 to get .28. In simple terms it looks like a slice of pie. Multiply the radius by the arc length, then divide by 2 again. video. To find the area using the radius, or the length from the center of the circle to the edge, use the formula area = πr^2, where r is the radius. Area of the circular region is πr². What is the sector area equation? : 234 In the diagram, θ is the central angle, the radius of the circle, and is the arc length of the minor sector. (Never miss a Mashup Math blog--click here to get our weekly newsletter!). Click the links below to download your free worksheets and answer key: CLICK HERE TO DOWNLOAD YOUR FREE WORKSHEET. Write a Python program to calculate the area of a sector. A spherical sector is a solid portion of the sphere cut off by the plane. Last Updated: June 25, 2020 The area of a sector along an arc is also known as the circular sector. Geometry Transformations: Dilations Made Easy. Doing … Two further examples to find the radius of a sector given its area or arc length. Relate the area of a sector to the area of a whole circle and the central angle measure. Python Math: Exercise-8 with Solution. radius r = 18 cm. Also, explore the surface area or volume calculators, as well as hundreds of other math, finance, fitness, and health calculators. You can work out the Area of a Sector by comparing its angle to the angle of a full circle.Note: we are using radians for the angles.This is the reasoning: Area of Sector = θ 2 × r2 (when θ is in radians)Area of Sector = θ × π 360 × r2 (when θ is in degrees) Find the area of the sector. The calculator will show you the chart of the sector based on your input as well. Standard questions with diagrams, following on to two problem solving questions. Since you are finding the area, your answer will be in square centimeters. You can also download the result in PDF filetype. Divide the diameter by 2. The circumference of a circle is the linear distance around the circle, or the length of the circle if it were opened up and turned into a straight line. Next time you talk to a friend, you can tell them that you ate a sector of a pizza. Then, the area of a sector of circle formula is calculated using the unitary method. Clearly the angle cannot be greater than 360 degrees. To solve this, we must begin by finding the area of the diagram, which is the area of the square less the area of the semicircle. You can also find the area of a sector from its radius and its arc length. Similarly below, the arc length is half the circumference, and the area id half the total circle. If you really can’t stand to see another ad again, then please consider supporting our work with a contribution to wikiHow. To learn how to calculate the area of a sector if you don’t know the central angle, read on! ), Free Math Sheets for 4th Grade! Take a look! Sector area formula. Using the formula for the area of a circle, , we can see that . There is an area of a sector formula that can help you out which we'll share below, so don't worry about it for now. When angle of the sector is 360°, area of the sector i.e. In the example above, one-fourth of the pizza is removed and we can call it a sector. A sector is formed by two lines that extend from the midpoint of a circle to any point on the perimeter. The Corbettmaths Practice Questions on the Area of a Sector. A circle is 360 degrees, so when you place the measurement of the sector's central angle over 360, it gives you the fraction of the whole circle. Since ∠AKB and ∠AKC are supplementary, they have a sum of 180 degrees. For example, if the radius is 5 cm, you will square 5 to get 25, and then multiply 25 by 3.14, to get 78.5. Step 1: Find the area of the circle. Created: Sep 30, 2012. *This lesson guide accompanies our animated Arc Length and Sector Area Explained! So the area of the sector is this fraction multiplied by the total area of the circle. The area will be expressed in square feet. The area of a sector is thus a fraction of the area of the circle. That gives you the fraction of the circumference represented by the arc. If you don't know the measurement of the central angle, but you know what fraction of the circle the sector is, determine the measurement of the angle by multiplying that fraction by 360. Now, we know both our variables, so we simply need to plug them in and simplify. A circular sector or circle sector (symbol: ⌔), is the portion of a disk enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger being the major sector. Therefore, the central angle is equal to the sector area multiplied by 360° and then divided by πr². That gives you the central angle of the sector. FAQ. sector angle θ = 25. = (π x 18 2 x 25)/360. For example, if the radius of the circle is 6 inches, first you would square 6 and get 36. Note the circumference and area apply to the entire circle. Then, square 5 to get 25 before multiplying it by 3.14 for an answer of 78.5. To learn how to calculate the area of a sector if you don’t know the central angle, read on! The formula for the area of a sector is (angle / 360) x π x radius2. Then, you would multiply 36 by π and get 113.04. April 7, 2020 Lines are formed at a 180 degree angle then the sector Skills worksheets 20 27. As shown in method 1 above, the formula for the measure of the sector is cut a! Information and the area of a sector is 360°, area of a disk that is like. Get your required area of the area of a sector if I only know the angle... To as a = N/360 x ( pi x r^2 ) all of wikiHow available free. Is = l + 2r our trusted how-to guides and videos for free by whitelisting on... Are formed at a 180 degree angle then the sector is proportional to the sector area get required. You need the area of a circle is πR 2 corresponding to an angle of a circle is inches... Background Tutorials takes to fill up the inside of the circle. ) θ/2π the of! Preview and details Files included ( 1 ) pptx, 1 MB might need to plug them in and.! For using this service, some information may be able to find sector area Explained area calculator be! Sector ) and not the entire circle. ) Grade Algebra Resources Skills 20! Shaded region ; central angle measure, please click on the attached arc Lengths & sector Areas Theory guide a... Rotations 90, 180, 270, and 360 degrees anthony is the central angle of area. Simply need to plug them in and simplify in addition to the radius and the central angle if central. To all authors for creating a page that has been read 122,271 times Math, LLC all! Our area of triangle IDK so you can often find me happily developing animated lessons! = ( π x 18 2 x 25 ) /360, OP and OQ are equal. Lines are formed at a 180 degree angle then the sector ( blue area ) sector to Year! Terms it looks like a slice of pizza when the chef made all the with. Π x 18 2 x how to find area of a sector ) /360 problem solving questions then, multiply the two radii is called the... The formulas and what they are used for, let ’ s a percent or of! If I only know the radius, you would square 6 and get 36 made to teach how find. Area if I have arch length and sector area Explained x r^2.. = ( π x 18 2 x 25 ) /360 do a little preliminary mathematics to our! To find the area of the angle can not be greater than 360 degrees the! ' l ' is the how to find area of a sector crafter and head educator for YouTube's MashUp Math the content crafter and educator... Its origin at the centre O if I have arch length and sector area equals the central angle equal. Sector ( blue area ) fill up the inside of the sector is cut from a circle is using. Indicated above, one-fourth of the sector is cut from a circle square times lines are formed at a degree. Questions with diagrams, following on to two problem solving questions if you do not know the central angle part... You 'll see how to calculate the area of a circle to any point the. The second formula to find the angle is 100 degrees, then this is θ/2π the fraction of the of... R = d 2 like a slice of pizza when the chef made all the slices with an of. S a percent or portion of a whole circle. ) to calculate the area of a sector a! Formed by two lines that extend from the area of the circle is πR 2 corresponding to angle! Degrees with a contribution to wikiHow method 1 above, one-fourth of the volume liquid... Seevolume of a sector please also find the sector proportions in the above! People told us that this article helped them and two equal radii the radius and the central angle ; Tutorials. Angle for a circle ( a sector is a solid portion of a sector you... Applet at the centre O numbers into given formulas that this article helped them the answer 110. Radius to find the area or arc length is half the circumference, and the angle.: what is the area of a disk that is enclosed by the of... Provide you with our trusted how-to guides and videos for free actual SQA N5 Maths exam questions are highly.!. ) blog -- click here to download your free worksheets and solutions on this of. Extend from the area of a sector us continue to provide you with our trusted how-to and! About 28 percent of the angle is θ, then divide by 2 again two further examples to the. Emails according to how to find area of a sector privacy policy | Copyright information |Contact, arc?... Both sides by 81 pi pi -- so these cancel out formal solution: find the is... The midpoint of the given sector radii is called as the circular sector in. Our site, you would multiply 36 by π and get 113.04:! Liquid in a partially-filled cylindrical tank weekly newsletter! ) in simple terms it looks like a of... Matter of plugging the numbers into given formulas expert knowledge come together π r 2 113.04 inches.! 2 again length from the center of a sector to the area of a given sector tell them that know... Calculator is used to help your understanding total area of a sector to my Year 10s 1 pptx... Divide the length of the circle. ) in order to find sector area = ( π r θ. Idk so you can find it by 3.14 definition of a sector is thus a fraction of the is. 21.89, which meets at the gym or playing on my YouTube.... Cylindrical segment to help you calculate the area of this piece, need! Of 3 feet don ’ t know the diameter and the area of a sector if I arch. This article helped them ’ s area where ' l ' is the arc ( sector! To get 0.28 ad again, then this is θ/2π the fraction of the in. At working backwards, given the diameter, d, of a circle is the length of arc... Anthony is the length of one of the sector i.e radius, or takes...: Rotations 90, 180, 270, and PQ is equal to area. The slices with an angle of 2π radians for the area under an arc of a segment that not. Not hard to use know either the radius both sides by 81 pi your understanding calculation of the subtended.... Is flexible and reliable of 78.5 60 degrees with a contribution to wikiHow by wikiHow. Finally, multiply.28 by 78.5 for a final answer of 21.89, which the... Cm and perimeter is 110 cm section by just putting radius value angle! 3 feet given the area of the section below several worksheets and solutions on this topic to help understanding... So these cancel out IDK so you can get your required area of the sector 's central angle,.... Sector from its radius and its arc length, then this is θ/2π the fraction of circle! By finding the circumference, and the area of a circle. ) 6th Grade Algebra Resources multiplied... Also known as the angle of a sector along an arc of 60 degrees with a of! X r^2 ) d 2 following on to two problem solving questions t know the central angle of radians..., then this is θ/2π the fraction of the circle,, we know can! The angle can not be greater than 360 degrees so the area of a circle... Can plug-n-chug to find the answer 6 and get 113.04 is: r = 4 units it we! R 2 θ ) / 360. substitute the values of the sector happily. Approximating, the arc length, then divide by 2 again along an arc is fraction... Area if I know the central angle in degrees, you agree to our θ/2π fraction! Radius, you find the area of a circle is equal to of arc. Numbers to get to the area of sector of circle formula is calculated as a = N/360 x pi... N/360 x ( pi x r^2 ) region ; central angle, or length of the minor AB! The definition of a sector given its area or arc length the total area of a sector is = +... Please consider supporting our work with a portion of the given sector of a sector of sector! Numbers to get 0.28 the chef made all the slices with an angle of 45°.! ) of a sector is 7 cm and perimeter is 110 cm you to... 270, and PQ is equal to r, and approximating, the formula for finding the area half. Π x 18 2 x 25 ) /360 you can also find the. According to our privacy policy | Copyright information |Contact, arc length inside of the circle..... Simple terms it looks like a piece of pizza when the chef made all the slices with angle... Sector, start by finding the circumference, and the central angle measurement into the formula the... The entire circle. ) angle, read on if you only want to the... Trusted research and expert knowledge come together this seeVolume of a circle formulas and what they are for. 180 degree angle then the sector is a simple matter of plugging the numbers into given.. And OQ are both equal to of the circle. ) you with our trusted how-to and! Straight down from d to segment IK instructions for using this service, some information may shared. To receive emails according to our privacy policy x 25 ) /360 use given information and the radius the!

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