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Question

The tangent to a circle from a point outside the circle measures 15cm. The distance of the point from the centre is 12cm. The radius of the circle is


A

10cm

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B

8cm

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C

11cm

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D

12cm

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Solution

The correct option is C

11cm


The length of the tangent is given as 15cm. The distance of the point from the centre of the circle is given as 12cm. So by Pythagoras theorem,

(12)2+(r)2=(15)2.

r2=225144=121

r =11cm.

Hence, the radius was found out to be 11cm.


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