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.
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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.
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What is the area of the sector that covers three quarters of this circle
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The circle has a radius of 4, so we can calculate the area of the full circle with pi times the radius squared
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That would be a full area of 16 pi
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But we only have three quarters of the circle, so we need to multiply by three quarters
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So our sector area is 12 pi.
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If we want to have it as a decimal, we can use 3.14 for pi, and it would be approximately 37.7