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.

: Given that OP = 25 cm and OQ = 7 cm. To find the length of PQ, applyPythagoras theorem in △ OPQ since ∠ O Q P = 90 ∘ O Q 2 + Q P 2 = O P 2 7 2 + Q P 2 = 25 2 Q P 2 = 625 – 49 = 576 Q P = 24 c m The length of the tangent is 24 cm.

A point P is 25 cm from the centre of a circle. The radius of the circle is 7 cm

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