Question

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

Answer 1

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