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Worksheets

Circles

Total questions: 25

Worksheet time: 14mins

Name
Class
Date
1.

Equal _____ of the congruent circles subtend equal angles at the centers.

a)

Segments

b)

Radii

c)

Arcs

d)

Chords

2.

If chords AB and CD of congruent circles subtend equal angles at their centres, then:

a)

AB=CD

b)

AB > CD

c)

AB < AD

d)

None of above

3.

If there are two separate circles drawn apart from each other, then the maximum number of common points they have:

a)

0

b)

1

c)

2

d)

3

4.

The angle subtended by the diameter of a semi-circle is:

a)

90

b)

45

c)

180

d)

60

5.

If AB and CD are two chords of a circle intersecting at point E, as per the given figure. Then:

a)

∠BEQ > ∠CEQ

b)

∠BEQ = ∠CEQ

c)

∠BEQ < ∠CEQ

d)

None of the above

6.

In the below figure, the value of ∠ADC is:

a)

600

b)

300

c)

450

d)

550

7.

In the figure, O is the centre of the circle and PR = QR. What is the measure of ∠PQR?

a)

600

b)

1100

c)

750

d)

450

8.

In the figure, O is the centre of the circle. What is the measure of ∠ACB?

a)

450

b)

600

c)

700

d)

900

9.

Segment of a circle is the region between an arc and ———- of the circle.

a)

Radius

b)

Chord

c)

Diameter

d)

sector

10.

The region between an arc and the two radii, joining the centre to the endpoints of the arc is called a ————–

a)

Sector

b)

Segment

c)

Arc

d)

Area

11.

The sum of either pair of opposite angles of a cyclic quadrilateral is ——–

a)

900

b)

1800

c)

3600

d)

600

12.

If the angles subtended by two chords of a circle or of congruent circles at the centre are equal, the chords are ——–

a)

equal

b)

unequal

c)

different

d)

none of above

13.

In the figure, if O is the centre of a circle, then the measure of ∠ACB is:

a)

800

b)

1000

c)

400

d)

600

14.

A point, whose distance from the centre of a circle is greater than its radius lies ———- of the circle.

a)

on circle

b)

in exterior

c)

on interior

d)

none of above

15.

The length of the complete circle is called its

a)

Radius

b)

diameter

c)

circumference

d)

area

16.

Equal _____ of the congruent circles subtend equal angles at the centers.

a)

Segments

b)

Radii

c)

Arcs

d)

Chords

17.

If chords AB and CD of congruent circles subtend equal angles at their centres, then:

a)

AB=CD

b)

AB > CD

c)

AB < AD

d)

None of above

18.

If there are two separate circles drawn apart from each other, then the maximum number of common points they have:

a)

0

b)

1

c)

2

d)

3

19.

If AB and CD are two chords of a circle intersecting at point E, as per the given figure. Then:

a)

∠BEQ > ∠CEQ

b)

∠BEQ = ∠CEQ

c)

∠BEQ < ∠CEQ

d)

None of the above

20.

In the figure, O is the centre of the circle and PR = QR. What is the measure of ∠PQR?

a)

600

b)

1100

c)

750

d)

450

21.

Segment of a circle is the region between an arc and ———- of the circle.

a)

Radius

b)

Chord

c)

Diameter

d)

sector

22.

The region between an arc and the two radii, joining the centre to the endpoints of the arc is called a ————–

a)

Sector

b)

Segment

c)

Arc

d)

Area

23.

If the angles subtended by two chords of a circle or of congruent circles at the centre are equal, the chords are ——–

a)

equal

b)

unequal

c)

different

d)

none of above

24.

In the figure, if O is the centre of a circle, then the measure of ∠ACB is:

a)

800

b)

1000

c)

400

d)

600

25.

The length of the complete circle is called its

a)

Radius

b)

diameter

c)

circumference

d)

area