Question

Draw a circle of radius 4 cm. Draw a pair of tangents to this circle such that the angle between two tangents is 60°. Also give the verification. Find the distance between the center of the circle and intersecting point of two tangents. 

Answer 1

Steps of Construction :

(1) Taking O as center and radius 4 cm draw a circle.

(2) Draw the diameter AB in the circle.

(3) Draw a ray OC making an angle of 60° at O of OA to meet the circle at C.

(4) Draw a ray making an angle of 90° at C of OC.

(5) Draw a ray making an angle of 90° at B of OB to meet the first ray at D.

Hence, CD and BD are the required tangents which make an angle of 60° between each others.

On Measuring the distance and intersecting point of two tangents we get 8 cm.