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Find the area of the shaded region below to the nearest tenth. 6ft 120 degrees

Find the area of the shaded region below to the nearest tenth. 6ft 120 degrees-example-1

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Answer:

The Area of shaded region is 37.68 ft²

Explanation:

Given figure is the circle with sector subtending angle

The angle subtending by sector = 120°

And the radius of circle is 6 ft

Now, The area of circle subtending angle at the centre of circle =
(\Phi * r^(2)* \theta )/(360°)

Where r is the radius of circle

or, =
(\Phi * 6^(2)* \120° )/(360°)

Or , =
(3.14 * 36 * 120)/(360)

∴ Area = 37.68 ft²

Hence The Area of shaded region is 37.68 ft² Answer

User DiegoSahagun
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