Question:
The length of a tangent from a point A at distance 5 cm from the centre of the circle is 4 cm. Find the radius of the circle.
Answer:
Given length of tangent BA = 4 cm
Distance from centre of the circle to point A = OA = 5 cm
Let OB is the radius of the circle.
Now from Pythagoras Theorem,
OA2 = OB2 + BA2
=> 52 = OB2 + 42
=> 25 = OB2 + 16
=> OB2 = 25 - 16
=> OB2 = 9
=> OB = √9
=> OB = 3
So radious of the circle = 3 cm
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