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SSC CHSL 2024 · PYQ · Geometry · medium

Two parallel chords of length 8 units each are 6 units away from each other in a circle. What is the radius of the circle in units?

  1. A.4
  2. B.3
  3. C.5✓ Correct
  4. D.6

Explanation

Since both chords are equal in length (8 units), they are equidistant from the center. Each chord is at distance 3 from the center (half of 6 units apart). Using the relation r² = (half-chord)² + d² = 4² + 3² = 16 + 9 = 25, so r = 5 units.
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