Draw a circle of radius 3 cm. From a point P, 7 cm away from the centre of the circle, draw two tangents to the circle. Also, measure the lengths of the tangents.

Question

Philoid · Accepted Answer

Steps of Construction:

1. Draw a circle of radius 3 cm taking O as center.

2. Mark a point P, 7 cm far from point O. Draw OP.

3. Draw a perpendicular bisector of OP. The bisector cuts OP at C.

4. Taking C as center and radius equal to length OC or CP, draw a circle.

5. Both circles intersect at points A and B.

6. Join AP and BP. Then AP and BP are the required tangents.