In Fig. 1, on a circle of radius 7 cm, tangent PT is draw from. a point P such that PT= 24 cm. If O is the centre of the circle, then the length of PR is
We know that, radius to a tangent is perpendicular at the point of contact
∴ In right Δ OTP, By Pythagoras theorem (OP)2 = (OT)2 + (PT)2
= (7) 2 + (24)2
= 49 + 576
= 625
∴ OP = 25 cm
Now, PR = OP + OR = 25 + 7 = 32cm
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