Draw a pair of tangents to a circle of radius 5 cm which are inclined to each other at an angle of 60°.

Question

Draw a pair of tangents to a circle of radius 5 cm which are inclined to each other at an angle of 60&#xB0;.

Philoid · Accepted Answer

Steps of construction:

i. Draw a circle with radius 5 cm.

ii. Now, make a line AP perpendicular to radius OA.

iii. Construct OB at an angle of 120^o from OA. (Because angle at centre is double the angle between two tangents).

iv. Join A and B to P; to get two tangents.

Here, ∠APB = 60^o