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In the given figure, three sectors of a ...

In the given figure, three sectors of a circle of radius 7 cm, making angle sof `60^(@), 80^(@)` and `40^(@)` at the centre are shaded. Find the area of the shaded region.

A

`57cm^(2)`

B

`77cm^(2)`

C

`71cm^(2)`

D

None

Text Solution

Verified by Experts

The correct Answer is:
B
Required area `={pixx7^(2)xx((60^(@)+80^(@)xx40^(@))/(360^(@)))}cm^(2)`
`=(22/7xx49xx180/360)=77cm^(2)`
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