Question

Draw a pair of tangents to a circle of radius 4cm which are inclined to each other at an angle of 60°. ​

Answer 1

1. Step-by-step explanation:

Given, the radius of the circle = 4 cm

Again, the angle between tangents = 600

i.e. angle BPA = 600

Since the angle at center is double the angle between tangents

So, angle AOB = 2 * 600 = 1200

Steps of Construction:

1. Draw a circle of radius 4 cm having center O

2. Now, take a point on the circle and join OA.

3. Draw a perpendicular to OA at A.

4. Now, draw a radius OB, making an angle of 600 (1800 - 1200) with OA.

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

Now, PA and PB are the required tangents inclined at angle 600 as shown in the figure.