Question

Construct, a tangent to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm and measure its length. Also verify the measurement by actual calculation.

Answer 1

Steps of construction: 

1. Draw two concentric circles with centre ‘O’ and radii 4 cm and 6 cm. 

2. Take a point ‘P’ on larger circle and join O, P. 

3. Draw the perpendicular bisector of OP which intersects it at M. 

4. Taking M as centre and PM or MO as radius draw a circle which intersects smaller circle at Q. 

5. Join PQ, which is a tangent to the smaller circle.