LENGTH OF TANGENT TO A CIRCLE FROM AN EXTERNAL POINT WORKSHEET

Problem 1 :

Find the value of x give reasons.

length-of-tangent-from-external-point-of-circle-q1.png

Solution

Problem 2 :

Find the value of x.

length-of-tangent-from-external-point-of-circle-q2.png

Solution

Problem 3 :

In the diagram given below, EF and EG are tangents of a circle with center C. Find the value of x.

length-of-tangent-from-external-point-of-circle-q3.png

Solution

Problem 4 :

Find the length of the tangent drawn from a point 8 cm away from the center of a circle of radius 6cm is

(a) √7 cm     (b) 2√7 cm      (c) 10 cm     (d) 5 cm

length-of-tangent-from-external-point-of-circle-q6.png

Solution

Problem 5 :

In the picture given below SR is the tangent of the circle with center P. Find the value of r.

length-of-tangent-from-external-point-of-circle-q7.png

Solution

Problem 6 :

From a point P, the length of the tangent to a circle is 15 cm & distance of P from the centre of the circle is 17 cm. What is the radius of the circle ?

Solution

Problem 7 :

In the figure given below, find the radius.

length-of-tangent-from-external-point-of-circle-q9.png

Solution

Problem 8 :

In fig. ABC is a right ∆ right angled at B such that BC = 6 cm & AB = 8 cm .Find radius of the incircle.

length-of-tangent-from-external-point-of-circle-q11.png

Solution

Problem 9 :

In the figure given below, find the length of the tangent XY.

length-of-tangent-from-external-point-of-circle-q10.png

Solution

Problem 10 :

In given figure a circle is inscribed in a∆ PQR with PQ = 10 cm, QR = 8 cm and PR = 12cm. Find the length of QM,RN & PL

length-of-tangent-from-external-point-of-circle-q5.png

Solution

Answer Key

1)  x = 15

2)  x = 5

3)  x = 4

4)  x = 2√7 cm

5)  r = 27

6)  x = 8

7)  x = 3.9

8)  2 cm

9)  XY = 12

10)  QM = 3 cm, RN = 5 CM, PL = 7 cm

More Practice Questions

length-of-tangent-from-external-point
finding-the-length-of-tangent-to-a-circle-from-an-external-point-worksheet

Solution

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