The length of the targent 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?
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Answer:
Let AP be a tangent drawn from P to a circle with centre O such that AP = 24 cm and OB = 25 cm.
In right angled △OAB,
OP2 = OA² + AP²
25² = OA² + 24²
OA² = 49
OA = 7 cm
Hence, the radius of circle is 7 cm.
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