Draw a circle of radius 3.5 cm. Mark a point P outside the circle at a distance of 6 cm from the center. Construct two tangents from P to the given circle. Measure and write down the length of one tangent.

Steps of construction :

1. With O as center and radius = 3.5 cm draw a circle.

2. Take a point P such that OP = 6 cm.

3. Draw perpendicular bisector of OP, cutting OP at M.

4. With center M and radius OM, draw a circle which intersects the circle with center O at A and B.

5. Join AP and BP. Measure AP and BP.

Hence, AP and BP are required tangents.

On measuring,

AP = BP = 4.9 cm.

Hence, length of each tangent = 4.9 cm.