Chords Equidistant from the Center Are Equal

Q. AB and CD are two parallel chords of a circle such that AB = 10 cm and CD = 24cm. If the chords are on the opposite sides of the centre and the distance between them is 17 cm, then the radius of the circle is _____.

1. 15 cm
2. 10 cm
3. 14 cm
4. 13 cm

Q. Find the value of OM, if CD = AB = 6 cm and radius of the circle is 5 cm.

1. 4cm
2. 6cm
3. 5cm
4. 2.8cm

Q.

In a circle of radius 10 cm length, a chord subtends right-angle at the centre, then the length of the chord is

1. 10

2. 20

3. $10\sqrt{2}$

4. $10\sqrt{5}$

Q.

In the given figure, ON = OM. If AB = 5 cm, then CD is equal to:

1. 4 cm

2. 5 cm

3. 6 cm

4. 7 cm

Q.

If two chords are equidistant from the centre, then the chords are ___

1. depends on the radius of the circle

2. can't be found

3. equal

4. unequal

Q. In the following figure OM=ON and AB=12cm. Then CN= .

1. 6cm
2. 8cm
3. 10cm
4. 9cm

Q.

In the given figure, ON = OM. If AB = 5 cm, then CD is equal to:

1. 4 cm

2. 5 cm

3. 6 cm

4. 7 cm