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A circle of area 20 sq. units is centere...

A circle of area 20 sq. units is centered at the point O. Suppose `DeltaABC` is inscribed in that circle and has area 8 sq. units. The central angles `alpha, beta` and `gamma` are as shown in the figure. The value of `(sin alpha+sin beta+sin gamma)` is equal to

A

`(4pi)/(5)`

B

`(3pi)/(4)`

C

`(2pi)/(5)`

D

`(pi)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
A
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