Draw two concentric circles of radii 4 cm and 6 cm. Construct a tangent to the smaller circle from a point on the larger circle. Measure the length of this tangent.

Question

Philoid · Accepted Answer

Steps of Construction:

1. Draw two concentric circles C1 and C2 with common center O and radius 4 cm and 6 cm.

2. Take any point P on the outer circle C2 and join OP.

3. Draw bisector of OP which bisects OP at M.

4. Taking M as center and OM as radius, draw a dotted circle which cuts the inner circle C1 at two points Q and R.

5. Join PQ and PR. PQ and PR are the required tangents.

On measuring PQ and PR,

⇒ PQ = PR = 4.4 cm