The math skill being taught is calculating the area of a sector of a circle when given the sector angle. This involves determining the fraction of the circle represented by the sector and using it to find the proportional area of the entire circle.
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Area of a sector of a circle from angle
Test your understanding of area of circle sector from angle by practicing it! Work through the below exercises to use it in practice.
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What is the area of the sector of this circle with sector angle of 120 degrees?
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A full circle is 360 degrees, so our sector covers one third of the circle.
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The circle has a radius of 9, so we can calculate the area of the full circle with pi times the radius squared, That would be a full area of 81 pi
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But we only have one third of the circle, so we need to multiply by one third
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So our sector area is 27 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 84.8