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CDS 2023 · PYQ · Mensuration · medium

The circumference of a circle exceeds the diameter by 16.8 cm. What is the diameter of the circle? (Take π = 22/7)

  1. A.6.42 cm
  2. B.7.64 cm
  3. C.6.24 cm
  4. D.7.84 cm✓ Correct

Explanation

πd − d = 16.8 ⟹ d(22/7 − 1) = 16.8 ⟹ d·15/7 = 16.8 ⟹ d = 16.8·7/15 = 7.84 cm.
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