Question

Sector having equal central angle of two circles have arc length 1.28 and 0.32. What is the ratio of their radii ?

• A. 1 : 4
• B. 2 : 1
• C. 1 : 2
• D. 4 : 1

Answer 1

Answer:

D. 4 : 1

length of arc = 2∏r x x/360 2∏r₁ x x/360 = 1.28 2∏r₂ x x/360=0.32 r₁ = 1.28 x 360/2∏x r₂= 0.32 x 360/2∏x r₁/r₂ = 1.28 x 360/2∏x / 0.32 x 360/2∏x r₁/r₂ = 1.28 /0.32 = 4/1 r₁ : r₂ = 4 : 1