Draw a circle of radius 4 cm. Draw tangent to the circle making an angle of 60° with a line passing through the centre.
Steps of Construction:
1. Draw a circle with center O and radius of length 4cm.
2. Draw any radius OP of this circle.
3. Extend OP to Q.
4. Draw angle AOP = 30°.

5. From A, draw angle of 90°.
6. The two lines intersect each other at B.

7. Then BA is the required tangent as angle ABP = 60°