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SSC CHSL 2023 · PYQ · Geometry · medium

In a circle, the length of a chord is 30 cm. The perpendicular distance of the chord from the centre of the circle is 8 cm. Find the diameter of the circle.

  1. A.34 cm✓ Correct
  2. B.28 cm
  3. C.17 cm
  4. D.30 cm

Explanation

Half the chord = 15 cm, perpendicular distance = 8 cm. Radius = √(15² + 8²) = √(225 + 64) = √289 = 17 cm. Diameter = 2 × 17 = 34 cm.
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