14. Tick the correct solution in the following:Area of a sector of angle p (in degrees) of a circle with radius R is(A) p/180 × 2πR(B) p/180 × π R2(C) p/360 × 2πR(D) p/720 × 2πR2

14. Tick the correct solution in the following:

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

(A) p/180 × 2πR

(B) p/180 × π R²

(C) p/360 × 2πR

(D) p/720 × 2πR²

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.