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CDS 2023 · PYQ · Geometry · medium

A pendulum swings through an angle of 9° and its end describes an arc of length 14.3 cm. What is the length of the pendulum? (Take π = 22/7)

Answer

The correct answer is B: 91 cm. Arc length = rθ (rad). θ = 9·π/180 = π/20.

  1. A.95 cm
  2. B.91 cm✓ Correct
  3. C.88 cm
  4. D.98 cm

Explanation

Arc length = rθ (rad). θ = 9·π/180 = π/20. r = 14.3 · 20/π = 14.3 · 20·7/22 = 14.3·140/22 = 2002/22 = 91 cm.
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