The length of a tangent from a point Q at distance 5 cm from the centre of the circle is 4 cm. Find the radius of the circle.

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asked Mar 13, 2018 in Mathematics by paayal (26,720 points) 4 6 11
The length of a tangent from a point Q at distance 5 cm from the centre of the circle is 4 cm. Find the radius of the circle.

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answered Mar 13, 2018 by sanjaydas (61,430 points) 5 7 7
selected Mar 14, 2018 by faiz
 
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Solution: In Δ OPQ
OP2 = OQ2 – PQ2
Or, OP2 = 25 – 16 = 9
Or, OP = 3

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