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CDS 2022 · PYQ · Geometry · medium

A circle of radius 25 cm has a chord of length 48 cm. What is the length of the perpendicular drawn from the centre of the circle to the chord?

Answer

The correct answer is B: 7 cm. Half chord = 24. Perpendicular = √(25²-24²) = √(625-576) = √49 = 7 cm.

  1. A.6.5 cm
  2. B.7 cm✓ Correct
  3. C.5.5 cm
  4. D.5 cm

Explanation

Half chord = 24. Perpendicular = √(25²-24²) = √(625-576) = √49 = 7 cm.
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