Draw a circle of radius 3 cm. Draw a tangent to the circle making an angle of 30° with a line passing through the centre.
Steps of Construction:
1. Draw a circle with center O and radius of length 3cm.
2. Draw any radius OP of this circle.
3. Extend OP to Q.
4. Draw angle AOP = 60°.
5. From A, draw angle of 90°.
6. The two lines intersect each other at B.
7. Then BA is the required tangent.