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

5 cm

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9 cm

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10 cm

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8 cm

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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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