Draw a circle of radius 3 cm. From a point P, 7 cm away from the center 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 line segment OP = 7 cm.

2. From the point O, draw a circle with radius = 3 cm.

3. Draw a perpendicular bisector of OP. Let M be the mid-point of OP.

4. Taking M as center and OM as radius, draw a circle.

5. Let this circle intersect the given circle at the points Q and R.

6. Join PQ and PR.

On measuring, we get

⇒ PQ = PR = 6.3 cm