Question

If the arcs of the same lengths in two circles subtend angles 65° and 110° at the centre, find the ratio of their radii

• A. 110/65
• B. 65/110
• C. 13/22
• D. 22/13

Answer 1

Answer:

D. 22/13

radius 1 = r₁ 𝚹₁ = 65° = ∏/180 x 65 = 13∏/36 radius 2 = r₂ 𝚹₂ = 110° = ∏/180 x 110 = 22∏/36 l=r₁𝚹₁ = r₂𝚹₂ r₁/r₂ = 𝚹₂/𝚹₁ = 22∏/36 x 36/13∏ = 22/13