Question

Construct two chords of length 5.6 cm. each on either side of the centre, of a circle of radius 3.5 cm. Measure the distance between the centre and the chords.

Answer 1

Radius of the circle = 3.5 cm

Length of the each chords = 5.6 cm

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

1. Draw a circle of radius 3.5 cm with centre O.

2. Take two points A and C on the circle.

3. With points A and C as the centers and radius 5.6 cm in each case, draw arcs that cut the circle at points B and D.

4. Join A and B, and C and D.

5. Mark the midpoints of AB and CD as M and N.

6. Join OM and ON.

Thus, AB and CD are chords of length 5.6 cm and the distances between the centre O and chords AB and CD is 2.1 cm in each case.