Question

A point P is 26 cm away from the center of a circle and the length of a tangent drawn from P to the circle is 24 cm . find the radius of the circle ​

Answer 1

Answer:

ANSWER

Length of tangent l=

d

2

−r

2

Here, d=26 cm,l=10 cm

∴10=

26

2

−r

2

10=

676−r

2

by squaring on both sides, we get

100=676−r

2

r

2

=676−100=576=24

2

r=24 cm

The radius of the circle =24 cm.

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