Question

Draw a circle of radius 4 cm. Draw a tangent to the circle, making an angle of 60° with a line passing through the centre.

Answer 1

Steps Of construction:

Step 1. Draw a circle with centre O and radius 4 cm.
Step 2. Draw radius OA and produce it to B.
Step 3. Make $\angle AOP=30°$∠AOP = 60°.
Step 4. Draw PQ $\perp OP$ , meeting OB at Q.
Step 5. Then, PQ is the desired tangent, such that $\angle OQP=60°$.

∠OQP = 30°