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Find the area of the shades segments in the figure
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Find the area of the shades segments in the figure

Find the area of the shades segments in the figure

A.

$\sqrt{3}$

B.

4 $\pi - \sqrt{3}$

C.

- $\frac{2}{3} \pi$

D.

$\frac{2\pi}{3}$ -3

View answer & explanation

Correct answer is D

Area of section = $\frac{60^o}{360^o}$ x 11r²

= $\frac{60}{360} \times \pi \times 2^2$

= $\frac{1}{6}$ x 4

= $\frac{4\pi}{6}$

= $\frac{2\pi}{3}$

Area of triangle = $\frac{1}{2x}$

= 2 x 28.......60

Segment Area = Area of section - Area of triangle

= $\frac{2\pi}{3}$ -3

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