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  • 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.

6.   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.

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Given that,
the length of the tangent from the point A (AP) is 4 cm and the length of OA is 5 cm.
Since \angleAPO = 900
Therefore, \Delta APO is a right angle triangle. By using Pythagoras theorem;

OA^2=AP^2+OP^2
5^2 = 4^2+OP^2
OP=\sqrt{25-16}=\sqrt{9}
OP = 3 cm

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manish

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