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CDS 2023 · PYQ · Geometry · medium

Two equal arcs of different circles C₁ and C₂ subtend angles of 60° and 75° respectively, at the centres. What is the ratio of the radius of C₁ to the radius of C₂?

  1. A.3:2
  2. B.4:5
  3. C.1:1
  4. D.5:4✓ Correct

Explanation

Arc length = rθ. Equal arcs: r₁·60 = r₂·75, so r₁/r₂ = 75/60 = 5/4.
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