Question

Draw a circle of radius 3 cm. Draw a tangent to the circle making an angle of ${30}^{\circ }$ 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 angle AOP = 60.

Step 4: Draw PQ perpendicular to OP, meeting OB at Q.

Step 5: Then, PQ is the desired tangent, such that angle OQP = 30