Question

Construct a tangent to a circle of radius 4cm from a point on the concentric circle of radius 6cm

Answer 1

Steps of construction 1. Draw a line segment of length OA = 4 cm. With O as centre and OA as radius, draw a circle.

2. With O as centre draw a concentric circle of radius 6 cm(OB).

3. Let C be any point on the circle of radius 6 cm, join OC.

4. Bisect OC such that M is the mid point of OC.

5. With M as centre and OM as radius, draw a circle. Let it intersect the given circle of radius 4 cm at the points P and Q.

6. Join CP and CQ. Thus CP and CQ are the required two tangents.