Question

In the given figure, point P is 26 cm away from the centre O of a circle and the length PT of the tangent drawn from P to the circle is 24 cm. Then, the radius of the circle is ______.

Options

• 10 cm

• 12 cm

• 13 cm

• 15 cm

Answer 1

In the given figure, point P is 26 cm away from the centre O of a circle and the length PT of the tangent drawn from P to the circle is 24 cm. Then, the radius of the circle is 10 cm.

Explanation:

OT (radius) is perpendicular to tangent PT, so triangle OTP is right-angled at T.

By Pythagoras, OT² = OP² – PT² 

= 26² – 24²

= 676 – 576

= 100

So OT = `sqrt(100)`

= 10 cm