Ex 11.1, 14
Tick the correct answer 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 × πR2 (C) 𝑝/360 × 2πR (D) 𝑝/720 × 2πR2
Area of a sector = θ/360× 𝜋𝑟2
Where θ = angle , r = radius of circle
Here, we have
𝛉 = p and radius = R
Putting these values in formula
Area of sector = 𝜃/360×𝜋𝑅2
= 𝒑/𝟑𝟔𝟎×𝝅𝑹𝟐
But , these is no such option which is matching with answers
So, multiplying 2 in numerator and denominator
Area of sector = 𝑝/360×πR2×2/2
= 𝒑/𝟕𝟐𝟎× 𝟐𝛑𝐑𝟐
So, the correct answer is (d)

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo

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