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Question -

Tick the correctsolution in the following:




Answer -

Area of a sector of angle p (in degrees) of a circle with radius R is

(A) p/180 × 2πR                (B) p/180 × π R_2

(C) p/360 × 2πR                (D) p/720 × 2πR_2

Solution:

The area of a sector = (θ/360°)×πr2

Given, θ = p

So, area of sector = p/360×πR2

Multiplying and dividing by 2 simultaneously,

= (p/360)×2/2×πR2

= (2p/720)×2πR2

_So, option (D) is correct

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