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

Asked by Topperlearning User | 10th Oct, 2017, 09:04: AM

Expert Answer:



Steps of construction:


  1. Draw circle with centre O and radius OA = 5 cm, .
  2. Mark another point B on the circle such that ∠AOB = 120°, supplementary to the angle between the tangents. Since the angle between the tangents to be constructed is 60°.


          ∴ ∠AOB = 180° – 60° = 120°.  

      3.Construct angles of 90° at A and B and extend the lines so as to intersect at point P.

      4. Thus, AP and BP are the required tangents to the circle.

Answered by  | 10th Oct, 2017, 11:04: AM