Question

Draw a pair of tangents to a circle of radius 3 cm, which are inclined to each other at an angle of 60°. 

Answer 1

The tangents can be constructed in the following manner: 

(i) Draw a circle of radius 3 cm with the centre as O. 

(ii) Take a point A on the circumference of the circle and join OA. Draw a perpendicular to OA at point A. 

(iii) Draw a radius OB, making an angle of 120° [(180° − 60°)] with OA. 

(iv) Draw a perpendicular to OB at point B. Let both the perpendiculars intersect at point P. 

PA and PB are the required tangents at an angle of 60°.