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

• 25 cm

• 26 cm

• 24 cm

• 10 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 is radius and PT is tangent.

 

∴ OT ⊥ PT
Now, in AOTP,
⇒ OP² = PT² + OT²
⇒ 26² = 24² + OT²
⇒ 676 - 576 = OT²
⇒ 100 = OT²
⇒ 10 cm = OT