Question

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.

Answer 1

Steps of construction:
Step 1: Draw a circle with center O and radius 3 cm.
Step 2: Draw radius OA and produce it to B.
Step 3: Make ∠AOP = 60°
Step 4: Draw PQ ⊥ OP,meeting OB at Q.
Step 5: Then, PQ is the desired tangent, such that ∠OQP = 30°