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Question
Draw a circle of radius 4 cm. Draw a point 8 cm away from its centre and construct a pair of tangents.
Solution
Steps of construction:
- Make an O-shaped circle with a 4 cm radius.
- Choose a point L on the circle's edge such that OL = 8 cm.
- To obtain its midpoint P, join the segment's OL's centre O and point L.
- Draw a circle with P as its centre, OP for its radius, and M and N for its intersection with the preceding circle.
- Join LN and LM. Therefore, LM and LN are the necessary tangents.
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