Examples of sectors are illustrated below. Just a few questions to practice - there aren't too many about! Our sector area calculator can help you calculate the area of a sector. A spherical sector is a solid portion of the sphere cut off by the plane. The formula for the area of a sector is (angle / 360) x π x radius2. To figure the area of a sector simply use our sector area calculator. So, if the angle formed is 90 degrees then you would use the formula to find the area of a circle (Pi*r^2) and find the proportion of the entire circle which would be 360 degrees. Circle, ellipse, parallelogram, rectangle, rhombus, sector, square, trapezoid, triangle. :) Read more. To use the sector area calculator simply enter the required information into the form fields and our calculator will take care of the complicated calculations for you. r is the length of the radius.> Area of a Sector Area of a Rectangle Area of a Square Area of a Triangle Area of a Parallelogram Area of a circle formula The formula for the area of a circle is π x radius 2 , but the diameter of the circle is d = 2 x r 2 , so another way to write it is π x (diameter / 2) 2 . θ is the angle of the sector. How to calculate a sector area. Free online calculators for personal use. r is the length of the radius. eval(ez_write_tag([[300,250],'calculator_academy-banner-1','ezslot_10',192,'0','0']));eval(ez_write_tag([[300,250],'calculator_academy-banner-1','ezslot_11',192,'0','1']));eval(ez_write_tag([[300,250],'calculator_academy-banner-1','ezslot_12',192,'0','2'])); Since a sector is also known as some percentage of a circle, then the area itself is also a portion of the area of a circle. 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So the area of the sector in this case would be 90/360 or 1/4 of the area of the circle. An arc is a part of the circumference of the circle. eval(ez_write_tag([[250,250],'calculator_academy-medrectangle-3','ezslot_1',169,'0','0'])); The area of a sector or arc can be calculated with the following formula: The area of a sector along an arc is also known as the circular sector. The area enclosed by a sector is proportional to the arc length of the sector. Calculates the area and arc of an elliptical sector given two axes and two angles. The area of the circle is equal to the radius square times . You can find it by using proportions, all you need to remember is circle area formula (and we bet you do! If you are still having some trouble understanding this, you can visit Wikipedia’s article on a circular sector. The arc is the outer edge of the sector. For a circle, that entire area is represented by a rotation of 360 degrees. For a circle, that entire area is represented by a rotation of 360 degrees. There is no need to try to remember this confusing formula. A sector is part of a circle bounded by two radii and their intercepted arc. The portion of the circle shaded in blue is the sector Step 2: Use the proportional relationship. The formula, solved example & step by step calculations may useful for users to understand how the input values are being used in such sector area calculations. Area of a Trapezium formula = 1/2 * (a + b) * h, where a and b are the length of the parallel sides and h is the distance between them. Author: Created by emmat26. Students may use this circle sector calculator to generate work with steps for any other similar input values. See how to find the area of the sector (blue area). The Radius of a Sector Formula calculates the radius by dividing the length of an arc by the value of circumference of π. The following is the calculation formula for the area of a sector: Where: A = area of a sector. Then, the area of a sector of circle formula is calculated using the unitary method. Male or Female ? 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. side a: side b: distance h: Result window. Semicircle area formula Knowing the semicircle definition - half of a circle - we can easily write the semicircle area formula using the well-known circle area, πr² : Area semicircle = Area circle / 2 = πr² / 2 The area of a semicircle is just a half of the area of a full circle. x is the angle of the sector. For more on this seeVolume of a horizontal cylindrical segment. Formula For Area Of Sector (In Degrees) We will now look at the formula for the area of a sector where the central angle is measured in degrees. Whether you want to calculate the Area (A), Arc (s), or one of the other properties of a sector including Radius (r) and the Angle formed, then provide two values of input. Change the values of the angle of the sector and radius of the sector. Also this featured sector area calculator uses the various conversion functions to find its volume in SI or metric or US customary units. Since a sector is also known as some percentage of a circle, then the area itself is also a portion of the area of a circle. This tool can be used to solve geometry problems related to circle. Calculate the area of a sector using the radius of an arc and the angle of rotation. Using this formula, and approximating , the area of the circle is . The formula is a little complicated to do in your head. To better understand how to calculate the area of a sector it is important to understand that the angle formed by the two straights sides of the sector is proportional to the are of the circle. eval(ez_write_tag([[300,250],'calculator_academy-large-leaderboard-2','ezslot_18',107,'0','0']));eval(ez_write_tag([[300,250],'calculator_academy-large-leaderboard-2','ezslot_19',107,'0','1']));eval(ez_write_tag([[300,250],'calculator_academy-large-leaderboard-2','ezslot_20',107,'0','2'])); To calculate the area of the sector you must first calculate the area of the equivalent circle using the formula stated previously. It’s a percent or portion of a disk that is enclosed by that arc and two equal radii. R * r * r where r is the radius measure the central angle ( θ ) degrees. ; the radius 'Area of a three-dimensional object sector calculation can be explained with given input -. Offline with our all-in-one calculator app for Android and iOS 0 customer reviews volumes or of! 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