Question

In a circle of radius 3 cm, construct a chord of length 4 cm. Measure the distance between the centre and the chord.

Answer 1

Radius of the circle = 3 cm

Length of the chord = 4 cm

To construct the circle and the chord, the steps below need to be followed:

1. Draw a circle of radius 3 cm with centre O.

2. Take a point A on the circle.

3. With point A as the centre and radius 4 cm, draw an arc that cuts the circle at point B.

4. Join A and B.

5. Mark the midpoint D of chord AB.

6. Join OD.

Thus, AB is the chord of length 4 cm and the distance between the centre O and chord AB is approximately 2.2 cm.