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Question

A point P is at a distance of 29 cm from the centre of a circle of radius 20 cm. Find the length of the tangent drawn from P to the circle.

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Solution

As we know tangents and radius are at an angle of 90°
hence we ccan say PO is the hypotenous of the right angle triangle APO
where A is point of contact

so
applying pythagoras theoram


P o squared equals O A squared plus A P squared 29 squared equals 20 squared plus A P squared s o space A P equals square root of 441 A P equals 21 C M space equals l e n g t h space o f space tan g e n t

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