Question

Draw two concentric circles of radii 2 cm and 6 cm. Taking a point on the outer circle, construct a pair of tangents to the other. Measure the lengths of the two tangents. [4 MARKS]

Answer 1

Construction : 3 Marks
Steps of construction : 1 Mark




1. With O as centre and radii 2 cm and 6 cm, draw two concentric circles.

2. Mark a point P on the outer circle.

3. Join OP and bisect it at a point M.

4. Draw a circle with M as the centre and radius equal to MP, to intersect the inner circle in points T and T'.

5. Join PT and PT'.

6. Then, PT and PT' are the required tangents.

7. Measurement Upon measuring the two tangents, we find PT = PT' = 5.6 cm