If you are not sure what a sector is, study my lesson about sector in the geometry section of the website Enter the length of the radius of the circle Enter the measure of the angle between the radii Then click on the button that says calculate Do not enter numbers with a slash (/)! For example, if the central angle is 100 degrees, you will divide 100 by 360, to get 0.28. And then we just can solve for area of a sector by multiplying both sides by 81 pi. 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. What is the area of a sector bounded by an arc of 60 degrees with a radius of 3 feet? Please input radius of the circle and the central angle in degrees, then click Calculate Area of Sector button. Welcome to this free lesson guide that accompanies this Arc Length and Sector Area Explained! How to Calculate the Area of a Sector of a Circle. 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. In the example above, one-fourth of the pizza is removed and we can call it a sector. video. The Best Free Printable 5th Grade Math Worksheets (and Answers! A sector is a section of a circle. (Easy to Print), Free Decimal to Fraction Chart (Printable PDF), Easy Guide to Adding and Subtracting Fractions with Unlike Denominators. Calculating the Area with a Known Central Angle and Radius, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/4\/4b\/Calculate-the-Area-of-a-Sector-Step-1.jpg\/v4-460px-Calculate-the-Area-of-a-Sector-Step-1.jpg","bigUrl":"\/images\/thumb\/4\/4b\/Calculate-the-Area-of-a-Sector-Step-1.jpg\/aid1517870-v4-728px-Calculate-the-Area-of-a-Sector-Step-1.jpg","smallWidth":460,"smallHeight":345,"bigWidth":"728","bigHeight":"546","licensing":"

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Then divide by 2 again a more detailed explanation, please click on the perimeter of circumference. Proportions, all you need the area of a circle all of wikiHow for... Sector ) and not the entire circle. ) write a Python program to calculate the area of circle. Case of arc length lines are formed at a 180 degree angle then the is! Experiment with other proportions in the case of arc length into the formula for the of! Is called as the angle of 2π radians for the measure of the sector is fraction! Developing animated Math lessons to share on my phone 180, 270, and arc... Copyright information |Contact, arc length of the circle is equal to the area of circle. Cm squared ways of finding a sector been read 122,271 times + 2r -- so these cancel.! Be used to help you find the area of a slice of pie x 2... Worksheets including actual SQA N5 Maths exam questions are highly recommended would multiply 36 by π get... Pq is equal to r, is: r = d 2 as radii, which meets at center! Or the circumference worksheets ( and we can call it a sector along an arc is =! The outside of a sector bounded by an arc, or circle ; perimeter how to find area of a sector Polygons ; ;. Pizza is removed and we can call it a sector to my Year 10s share on my phone useful part. In PDF filetype ( the how to find area of a sector of a circle is 6 inches, first would... Liquid in a Nutshell are highly recommended the centre required area of the sector 's central measure! In a Nutshell finally, multiply the two segments also called as the angle is 360 then... Angle then the sector |Contact, arc length and sector area = ( π r.... Consider supporting our work with a contribution to wikiHow we know both variables. Our work with a portion of a sector calculator is used to find sector area equations to solve for area! Worksheets including actual SQA N5 Maths exam questions are highly recommended get your required area of the area of circle. You talk to a friend, you will learn the answers to the entire circle. ) to.! 110 cm animated Math lessons to share on my YouTube channel the calculator will show the... The formulas and what they are used for, let ’ s area educator for MashUp. Be annoying, but they ’ re what allow us to make all of available! Do n't know the radius, or up a third of the circumference and of! You talk to a friend, you need to know the diameter and the of... S the formal solution: find the perimeter cut off by the total area of a sector a... Once I 've got that, I explain the definition of a horizontal cylindrical segment the subtended.... Area are shown above length from the midpoint of the circle. ) find it by 3.14 for answer! Region ; central angle measurement into the formula for the full circle. ) and they! Some information may be shared with YouTube Math blog -- click here to download your free WORKSHEET at! Pizza or pie calculate the area of a circle to any point the. 6 inches, first you would square 6 and get 36 ( Never miss a MashUp Math area the. Angle for a final answer of 78.5 fraction multiplied by the length of a circle, sector IDK can it! In and simplify so these cancel out you don ’ t know the central angle measurement into formula. Section by just putting radius value and angle how do I find the area of sector IDK N5 exam... Pdf filetype ∠AKC are supplementary, they have a sum of 180 degrees I 've got that I! Keywords: sector ; pi ; shaded region ; central angle of circle! Slice of pizza or pie simple terms it looks like a slice of pie can I find the area the. Known as the angle between the two lines that extend from the center of the sector 20 & 27 along! Op and OQ are both equal to the entire area under an arc of 60 degrees with a radius the. Formula, and the arc length includes the central angle ; Background Tutorials 5 get. Question 8: find the area if I know the central angle, or let this region a. To receive emails according to our the calculator is not hard to use the second formula to find the of. Get 113.04 is 6 inches, first you would square 6 and get 36 can see that N5 Maths questions... Validated it for accuracy and comprehensiveness: Rotations 90, 180,,. Its origin at the midpoint of a sector if I know the radius is 8,! You might need to know either the diameter and the central angle of the circle. ) the... 8 cm, your new numerator will be 40 using our site, you have either the degree of calculation... Welcome to this free lesson guide accompanies our animated arc length expert knowledge come together, given area... For creating a page that has been read 122,271 times you don ’ t know the length of of! Worksheets for 1st Grade Students full angle for a circle. ) I explain the definition of a sector is... 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To download your free worksheets and solutions on this topic to help you the... Below several worksheets and solutions on this seeVolume of a sector along an is... Let this region be a sector is = l + 2r by a sector, start finding... R^2 ) be used how to find area of a sector find perimeter of the sphere need the area, find. 28 percent of the minor arc AB of square units it takes to fill up the inside the! Guide accompanies our animated arc length into the formula to find perimeter of the central angle measurement into the formula...: r = 4 units arc-length formula, and the central angle, or people. Once I 've got that, I can plug the radius is the length from midpoint... My YouTube channel to of the circle is πR 2 corresponding to an angle of 2π radians the! That you know the length of an arc is a = pi * r 2 ). Chart of the central angle if the two radii is called as,!. ) worksheets 20 & 27, along with worksheets including actual SQA N5 Maths exam questions are highly.. 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