Construct a tangent to a circle of radius 4cm from a point which is at a distance of 6cm from its center.

Given,

Point M’ is at a distance of 6 cm from the center of a circle of radius 4 cm.

Steps of construction

1. Draw a circle of radius 4 cm.

2. Join OM’ and bisect it. Let M be mid-point of OM’.

3. Taking M as center and MO as radius draw a circle to intersect circle (0,4) at two points P and Q.

4. Join PM’ and QM’. PM’ and QM’ are the required tangents from M’ to circle C (0,4).