Question

Given PQ = 4 cm, with PQ as diameter draw a circle. Draw two tangents to the circle at ‘P’ and ‘Q’.

Answer 1

Length of the diameter PQ = 4 cm

The steps below need to be followed to construct the circle and the two tangents.

1. Draw a circle of radius 2 cm with centre O.

2. Draw the chord PQ passing through the centre O. PQ is the diameter of the circle and is 4 cm long.

3. Draw perpendiculars SR and MN at P and Q respectively such that and.

Thus, RS and MN are the tangents at points P and Q respectively.