End-of-Chapter Exercises
End-of-Chapter Exercises
Last updated at June 3, 2026 by Teachoo
Transcript
Question 8 Find the area of a quadrant of a circle whose circumference is 66 cm. Quadrant is ΒΌth of a circle So, we can write Area of quadrant = 1/4Γ area of circle = π/π π π^π We need to find r It is given that Circumference = 2Οr 66 = 2Οr 66 = 2 Γ 22/7 Γ r 66 = 44/7 Γ r 66 Γ 7/44 = r 3 Γ 7/2 = r 21/2 = r r = ππ/π cm Now, Area of quadrant = 1/4 ππ^2 = π/π Γππ/π Γ (ππ/π)^π = 1/4 Γ22/7 Γ21/2 Γ21/2 = 1/2 Γ11/7 Γ21/2 Γ21/2 = (11 Γ 21 Γ 21)/(2 Γ 2 Γ 2 Γ 7) = 4851/56 = 86.625 cm2