Question

Draw a circle of radius 4 cm. Draw a point 8 cm away from its centre and construct a pair of tangents.

Answer 1

Steps of construction:

1. Make an O-shaped circle with a 4 cm radius.
2. Choose a point L on the circle's edge such that OL = 8 cm.
3. To obtain its midpoint P, join the segment's OL's centre O and point L.
4. Draw a circle with P as its centre, OP for its radius, and M and N for its intersection with the preceding circle.
5. Join LN and LM. Therefore, LM and LN are the necessary tangents.