LENGTHS OF TANGENTS DRAWN FROM AN EXTERNAL POINT TO A CIRCLE WORKSHEET

Problem 1 :

PT is a tangent to the circle with centre O. If OT = 6 cm & OP = 10 cm, then length of tangent PT is

(a) 8 cm    (b)12 cm    (c) 10 cm   (d) 16 cm

Solution

Problem 2 :

AP & AQ are tangents are tangents from a point A to a circle with centre O & radius 9 cm. If OA = 15cm, then find AP + AQ

Solution

Problem 3 :

In the figure given below, AC, AD and AB are tangents. If AB = 5 cm, find AD.

Solution

Problem 4 :

Find the length of the tangent drawn to a circle of radius 3 cm, from a point distant 5 cm from the centre.

Solution

Problem 5 :

A point P is at a distance 13 cm from the centre C of a circle and PT is a tangent to the given circle. If PT = 12 cm, find the radius of the circle.

Solution

Problem 6 :

From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the centre of the circle is 25 cm. Find the radius of the circle

Problem 7 : 

The tangent to a circle of radius 6 cm from an external point P, is of length 8 cm. Calculate the distance of P from the nearest point of the circle

Solution

Problem 8 :

Find x.

Solution

Problem 9 :

Triangle ABC is circumscribed, find the value of x.

Solution

More Practice Questions

Solution

Solution