Chord, Arc, Segment and Sector

Q.

Define major and minor segment of a circle. [2 MARKS]

Q. A segment of a circle is the region bounded by a and the arc subtended by it.

1. radius
2. chord
3. tangent

Q.

If I draw two circles of radius 3 cm and 5cm with common centre and draw a line AB such that it is a chord to both the circles and length of CD is $2\sqrt{5}$ cm, then find the distance of the chords from the centre and the length AC.

1. 3 cm, 2 cm

2. 2.35 cm, 2 cm

3. 2.16 cm, 2.346 cm

4. 2 cm, 2.346 cm

Q.

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

1. 1 : 2

2. 1 : 3

3. 1 : 4

4. 1 : 1

Q. Identify the major segment in the image.(Tap on the correct color)

1. 
2. 
3. 

Q. A line segment joining any two points on the circle is called a __ of the circle.

1. radius
2. diameter
3. chord
4. bisector

Q.
The figure shows a circle with centre O, in which $OE\perp CD$. If CD = 8 cm and EB = 2 cm, then find the radius of the circle. [3 Marks]

Q.

How many degrees are in one-half of a circle?

1. 180 degrees

2. 360 degrees

3. 90 degrees

4. 45 degrees

Q.

Using the information given in the figure, match the following.

1. I - (a), II - (c), III- (b)
2. I - (c), II - (a), III- (b)
3. I - (a), II - (b), III- (c)
4. I - (b), II - (a), III- (c)

Q.

The figure given below shows a circle with centre O in which diameter AB bisects the chord CD at point E . If CD =16 cm and EB = 4 cm, then find the radius of the circle.

1. 6 cm

2. 8 cm

3. 10 cm

4. 11 cm

Q.

The figure shown below is a circle centered at O. AB and CD are ___ of the circle.

1. chords

2. sectors

3. segments

4. diameters

Q. How long is the longest chord in a circle of radius 2006 mm?

1. 4012 mm
2. 2014 mm
3. 2048 mm
4. 6002 mm