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Question

A point P is 25 cm from the centre of a circle. The radius of the circle is 7 cm and length of the tangent drawn from P to the circle is x cm. The value of x is ___ cm.

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Solution

Given that OP = 25 cm and OQ = 7 cm.

To find the length of PQ, apply Pythagoras theorem in OPQ since OQP=90

OQ2+QP2=OP2

72+QP2=252

QP2=62549=576

QP=24 cm
The length of the tangent is 24 cm.


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