Question

Find the length of the tangent drawn from a point which is at a distance 25cm from the centre of the circle. Given the radius of the
circle is 7cm.​

Answer 1

Answer:  24 cm

Step-by-step explanation:

Let P be the given point, O be the centre of the circle and PT be the length of the tangent from P. Then, OP = 25 cm and OT = 7 cm. Since tangent to a circle is always perpendicular to the radius through the point of contact.

PT² + TO² = PO²       [Pythagoras Theorem]

PT² + 7² = 25²

PT² = 625-49 cm

PT ² = 576 cm

PT  = $\sqrt{576}$ cm

PT = 24 cm