What is the area of a sector with radius 6" and measure of arc equal to 120°?

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22-05-2017
Mathematics

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What is the area of a sector with radius 6" and measure of arc equal to 120°?

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3mar 3mar · Answer 1 · 2017-05-22T02:14:51+02:00

3mar 3mar

22-05-2017

The area of a sector = 0.5 * radius^2 * central angle measure (in radians)

So that:

[tex]Area_{sector}= \frac{1}{2} * 6^2* \frac{120}{180}*\pi=12\pi=37.69911 \\ Area_{sector}=37.7 [/tex] sq in

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