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
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=625–49=576
QP=24 cm
The length of the tangent is 24 cm.