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25/06/2021 1:35 pm
Topic starter
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
1 Answer
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25/06/2021 1:37 pm
Correct option: (D) p/720 × 2πR2
Explanation:
The area of a sector = (θ/360°) × πr2
Given, θ = p
Area of sector = p/360 × πR2
Multiplying and dividing by 2 simultaneously,
= (p/360) × 2/2 × πR2
= (2p/720) × 2πR2
= p/720 × 2πR2