Question

Draw a circle of radius 6 cm. From a point 10 cm away from its centre, construct the pair of tangents to the circle and measure their lengths.

Answer 1

r = 6 cm,, d = 10 cm., t = ?

Tangent, PQ = PR = 8 cm. 

Steps of Construction : 

1. A circle with radius 6 cm is drawn taking O’ as centre. 

2. Point P is marked at 10 cm apart from centre of circle. 

3. With the half of compass mark M which is the mid-point of OP. 

4. A circle is drawn at M taking radius MO or MP which intersect the given circle at Q and R. 

5. Now join PQ from P, and Join PR, required tangents are obtained. If measured it is PQ = PR = 8 cm.