Draw a circle of

Steps of construction:

1. Draw a circle of radius 2cm with centre O.

2. Extend its diameter on both the sides and cut OP = OQ = 4cm.

3. Now bisect OP and OQ. Let A and B be the points of OP and OQ respectively.

4. Taking A as the centre and OA as the radius draw a circle to intersect circle of radius 2cm at two points C and D. Now taking B as the centre and OB as the radius, draw a circle to intersect circle of radius 2cm at two points E and F.

5. Join PC, PD, QE and QF. These are the required tangents from P and Q to circle of radius 2cm.