Multiple choice

In a circle AB is a chord of 16 cm and distance from centre O, OC is 6 cm then the radius of the circle is-

  1. 6 cms

  2. 8.5 cms

  3. 10 cms

  4. 12.5 cms
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Using chord-radius relationship: radius² = perpendicular distance² + (chord/2)². r² = 6² + 8² = 36 + 64 = 100. Therefore r = 10 cm. This is derived from the fact that a radius drawn to the chord's midpoint forms a right triangle with the chord half-length and perpendicular distance.

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