Mathematics

# Circles Exercise 10.1 – Class 10

Construction of a chord of given length – Circles Exercise 10.1

Circles Exercise 10.1 – Questions:

1. Draw a circle of radius 3.5 cm and construct a chord of length 6 cm in it. Measure the distance between the centre and the chord.
2. Construct two chords of length 6 cm and 8 cm on the same side of the centre of a radius 4.5 cm. Measure the distance between the centre and the chords.
3. Construct two chords of length 6.5 cm on either side of the centre of a circle of radius 4.5 cm. Measure the distance between the centre and the chords.
4. Construct two chords of length 9 cm and 7 cm on either side of the centre of a circle of radius 5 cm. Measure the distance between the centre and the chords.

Circles Exercise 10.1 – Solutions:

1. Draw a circle of radius 3.5 cm and construct a chord of length 6 cm in it. Measure the distance between the centre and the chord.

2. Construct two chords of length 6 cm and 8 cm on the same side of the centre of a radius 4.5 cm. Measure the distance between the centre and the chords.

Solution:

3. Construct two chords of length 6.5 cm on either side of the centre of a circle of radius 4.5 cm. Measure the distance between the centre and the chords.

4. Construct two chords of length 9 cm and 7 cm on either side of the centre of a circle of radius 5 cm. Measure the distance between the centre and the chords.