A Line through the Center That Bisects the Chord Is Perpendicular to the Chord

Q. The segment joining the centre of a circle and midpoint of its chord is _______ to the chord.

1. parallel
2. perpendicular
3. parallel or perpendicular
4. None of the above

Q.

A circle has a chord of the length 48 cm and it is drawn at a perpendicular distance of 7 cm from the center of the circle. Find the length of the Diameter of the Circle.

1. 50 cm

2. 48 cm

3. 25 cm

Q.

The perpendicular to a chord, from the centre of the circle divides the chord in a ratio of :

1. 1:1

2. 1:2

3. 1:4

4. 1:3

Q.

O is the centre of the circle. AB is a chord of the circle. Angle subtended by the chord at the center and the angle subtended by minor arc AB are equal. Is it true or false?

1. True

2. False

Q.

The length of common chord of two intersecting circles is 30 cm. If the diameters of these two circles be 50 cm & 34 cm, the distance between their centres is ____ cm.

1. 24
2. 32

3. 30

4. 28

Q. Perpendicular from the centre of the circle to the chord bisects the chord in what ratio?

1. 1:1
2. 1:2
3. 2:1
4. 1:4

Q.

A line intersecting the circle at two distinct points is called a sectant of the circle.

1. True
2. False

Q.

AB is a chord of a circle. AB divides the circle into ____ parts and the part with higher area is called ____ and the part with smaller area is called_____.

1. 2, major segment, minor segment
2. 3, major arc, minor arc
3. 2, minor arc, major arc
4. 3, minor segment, major segment

Q. The figure given below shows a circle with centre O in which diameter AB bisects the chord CD at point E. If CD = 32 cm and EB = 4 cm, then find the radius of the circle.
[4 Marks]

Q. The perpendicular to a chord, from the centre of the circle divides the chord in ratio ___.

1. 1:2
2. 2:1
3. 1:3
4. 1:1

Q.

difference between segment and semi circle

Q. Look at the given figure. Write the names of the centre of the circle, the radius, the chord and the diameter.

Q.

The perpendicular to a chord, from the centre of the circle divides the chord in ratio ___.

1. 1 : 1

2. 1 : 2

3. 1 : 3

4. 1 : 4

Q. Look at the given figure and write whether the following statements are true or false.

(1) Seg TS is not a chord. ( )
(2) Seg KM is a chord. ( )
(3) Seg CK is a radius. ( )
(4) Seg KM is not a diameter. ( )

Q. Perpendicular from the centre of the circle to the chord bisects the chord in what ratio?

1. 1:1
2. 1:2
3. 2:1
4. 1:4