Question

Draw two concentric circles of radii 3 cm and 5 cm. Taking a point on outer circle construct the pair of tangents to the other. Measure the length of a tangent and verify it by actual calculation.

Answer 1

Steps of constructions:

1. Draw a circle with center O and radius 3 cm.

2. Draw another circle with center O and radius 5 cm.

3. Take a point P on the circumference of larger circle and join OP.

4. Draw another circle with diameter OP such that it intersects the smallest circle at A and B.

5. Join A to P and B to P.

Hence AP and BP are the required tangents.