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Area of circle sector

Area of a sector of a circle from fraction

This math skill teaches how to calculate the area of a sector of a circle by first determining the area of the entire circle and then multiplying it by the fraction of the circle that the sector represents.

Learn area of circle sector

Teaching Transcript

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What is the area of the sector that covers three quarters of this circle

The circle has a radius of 4, so we can calculate the area of the full circle with pi times the radius squared

That would be a full area of 16 pi

But we only have three quarters of the circle, so we need to multiply by three quarters

So our sector area is 12 pi.

If we want to have it as a decimal, we can use 3.14 for pi, and it would be approximately 37.7

Skill Practice

Area of a sector of a circle from fraction

Test your understanding of area of circle sector by practicing it! Work through the below exercises to use it in practice.