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Question
The length of the tangent to a circle from a point P, which is 25 cm away from the centre is 24 cm. What is the radius of the circle?
Solution
Let the radius AB be r.
In the right ∆ABO,
OB2 = OA2 + AB2
252 = 242 + r2
252 – 242 = r2
(25 + 24) (25 – 24) = r2
r = `sqrt(49)` = 7
Radius of the circle = 7 cm
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