If two arcs of equal length subtend angles of 65° and 110° at the centres of two circles, the ratio of the radii r₁ : r₂ is:
A22 : 13
B110 : 65
C65 : 110
D13 : 22
Answer & Solution
Correct answer: A. 22 : 13
For equal arcs, l = r₁θ₁ = r₂θ₂ → r₁/r₂ = θ₂/θ₁ = 110/65 = 22/13. So r₁ : r₂ = 22 : 13. (The larger angle requires a smaller radius for equal arc length.)
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