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Question

The radius of a circle which has a 6 cm long chord, 4 cm away from the centre of the circle is


  1. 5 cm

  2. 8 cm

  3. 9 cm

  4. 10 cm


Solution

The correct option is A

5 cm


In the right triangle OAP,

OA2 = OP2 +AP2         (By Pythagoras theorem)

OA2 = 42 + 32              (perpendicular from the centre of the circle bisects the chord , AP=3cm)

OA2 = 25

OA = 5

Hence the radius of the circle is 5 cm.

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