GCSE Maths (Edexcel)

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Area of a Sector

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Geometry and Measures Mensuration and Calculation

Area of a Sector

2:58 Areas and Volumes of Circles and Spheres
Spec G18
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  • The area of a sector is a fraction of the area of a circle
  • The formula for the area of a sector is theta/360 * area of whole circle
  • The formula can also be written in terms of the radius as theta/360 * pi * r^2
  • To calculate the area of a sector, you need the radius and the sector angle
  • In the example given, the radius is 7 centimeters and the sector angle is 90 degrees
  • Substituting these values into the formula gives an area of 38.5 centimeter squared (to three significant figures)

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