Ex 11.1, 14 (MCQ) - Chapter 11 Class 10 Areas related to Circles

Transcript

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)