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. 1 : 2
• B. 13 : 22
• C. 22 : 13
• D. 2 : 1

Answer 1

Answer:

C. 22 : 13

Radius = r₁ 𝚹₁ = 65° = ∏/180 x 65 = 13∏/36 Radius -= r₂ 𝚹₂ = 110 ° = ∏/180 x 110 = 22∏/36 l = r₁𝚹 ₁= r₂𝚹₂ r₁/r₂ = 𝚹₂ /𝚹₁ = 22∏/36 x 36/13∏ = 22/13 r₁ : r₂ = 22 : 13