Question

Write the steps of construction for drawing a pair of tangents to a circle of radius 3 cm, which are inclined to each other at an angle of ${60}^{\circ }.$

Answer 1

Following the given steps in order to construct the tangents.

Step 1 : Draw a circle of radius 3 cm and centre O.

Step 2 : Take a point A on the circle. Join OA.

Step 3 : Draw a perpendicular to OA at A.

Step 4 : Draw a radius OB, making an angle of 120° (180° – 60°) with OA.

Step 5 : Draw a perpendicular to OB at point B. Let these perpendiculars intersect at P.

Here, PA and PB are the required tangents inclined at angle 60°