Question

Draw a circle with radius 4.1 cm. Construct tangents to the circle from a point at a distance of 7.3 cm from the centre.

Answer 1

Rough figure:

Steps of construction:

1. With centre P, draw a circle of radius 4.1 cm.
2. Take point Q such that PQ = 7.3 cm.
3. Draw the perpendicular bisector of seg PQ. It intersects PQ in point M.
4. With M as centre and radius equal to PM, draw an arc intersecting the circle in points R and S.
5. Draw rays QR and QS. Rays QR and QS are the required tangents to the circle.