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9thclass circles

Total questions: 25

Worksheet time: 39mins

Name
Class
Date
1.

In the figure, O is the centre of the circle. If ∠ADC = 140°, then what is the value of x?

a)

45o

b)

55o

c)

60o

d)

50o

2.
Find the value of x.
a)
10
b)
5
c)
18
d)
9
3.

Find the value of the angle marked x....

a)

125

b)

70

c)

110

d)

55

4.

Find the value of the angle marked x....

a)

32

b)

64

c)

16

d)

58

5.

After examining the image, determine the value of the angle marked.

a)

102

b)

51

c)

129

d)

78

6.

How many degrees is angle d?

a)

20

b)

45

c)

70

d)

none of the above

7.

Using a circle theorem property, how many degrees is angle c?

a)

20

b)

45

c)

70

d)

none of the above

8.

Find the value of the angle marked x.

a)

50

b)

100

c)

80

d)

90

9.

Find the value of y.

a)

80°

b)

66°

c)

100°

d)

114°

10.

Find the measure of arc DE.

a)

52°

b)

80°

c)

56°

d)

28°

11.

Find m∠BEC.

a)

52°

b)

104°

c)

100°

d)

50°

12.
Find a and b.
a)
a=74 degrees
b=93 degrees
b)
a=93 degrees
b=74 degrees
c)
a=87 degrees
b=106 degrees
d)
a=106 degrees
b=87 degrees
13.

What is the measure of angle x?

a)

69 degrees

b)

111 degrees

c)

180 degrees

d)

74 degrees

14.
Find m∠UST.
a)
119°
b)
163°
c)
44°
d)
61°
15.
Find m∠PRQ.
a)
39°
b)
90°
c)
51°
d)
15°
16.

Find m∠RPQ.

a)

55°

b)

70°

c)

110°

d)

145°

17.
find the measure of x
a)
38
b)
21
c)
27
d)
96
18.
find the measure of angle a
a)
30
b)
21
c)
60
d)
120
19.

Angle in a semicircle is a

a)

Acute angle

b)

Right angle

c)

Obtuse angle

d)

None of the above

20.
The region between the a chord and either of the arcs is called____
a)
An arc
b)
A sector
c)
A segment
d)
A semi
21.
A cyclic parallelogram is a ______
a)
Rectangle
b)
Square
c)
Rhombus
d)
Parallelogram
22.
How many circles are possible through three non-collinear points 
a)
Only one 
b)
Two
c)
Three
d)
Many
23.

An arc is

a)

the distance between the centre and any point on the circumference.

b)

a part of the circumference of a circle.

c)

the distance between one point of the circumference to another point of the circumference.

d)

the line passing through the centre joining any two points on circumference.

24.

Radius of a circle is

a)

the line passing through the centre joining any two points on circumference.

b)

the distance between one point of the circumference to another point of the circumference.

c)

the distance between the centre and any point on the circumference.

d)

a part of the circumference of a circle.

25.

The distance around the circle

a)

area

b)

circumference

c)

perimeter

d)

arc