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Worksheets

CIRCLE THEOREM

Total questions: 32

Worksheet time: 33mins

Name
Class
Date
1.

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

a)

90

b)

43

c)

47

d)

53

2.

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

a)

102

b)

51

c)

129

d)

78

3.

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

a)

56

b)

90

c)

34

d)

44

4.

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

a)

61

b)

63

c)

117

d)

119

5.

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

a)

90

b)

45

c)

50

d)

100

6.

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

a)

88

b)

44

c)

92

d)

46

7.

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

a)

32

b)

64

c)

16

d)

58

8.

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

a)

100

b)

80

c)

109

d)

71

9.

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

a)

50

b)

100

c)

80

d)

90

10.

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

a)

63

b)

126

c)

54

d)

90

11.
What is the m∠ACB?
a)
52o
b)
26o
c)
104o
d)
114o
12.
Solve for x
a)
9
b)
7
c)
6
d)
8
13.

what are the values of c and d?

a)

c = 218, d = 71

b)

d = 109, c = 71

c)

c = 142, d = 218

d)

c = 142, d = 109

14.

find m.

a)

41

b)

109

c)

68

15.

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

a)

90

b)

43

c)

47

d)

53

16.
Two tangents CD and CB intersect circle A. Find the length of the tangent segment BC.
a)
2
b)
3
c)
9
d)
14
17.

Which of the following are pictures of chords?

a)
b)
c)
d)
18.

What is the measure of x?

a)

62 degrees

b)

31 degrees

c)

124 degrees

d)

360 degrees

19.

Name the part shown in the given circle.

a)

Segment

b)

Sector

c)

Diameter

d)

Radius

20.

Name the part shown in the given circle.

a)

Sector

b)

Chord

c)

Segment

d)

Circumference

21.

Name the part shown in the given circle.

a)

Chord

b)

Radius

c)

Tangent

d)

Segment

22.

Name the part shown in the given circle.

a)

Circumference

b)

Tangent

c)

Sector

d)

Radius

23.
What are the values of x and y?
a)
x=75°; y=93°
b)
x=65°;y=104°
c)
x=75°; y=94°
d)
x=65°; y=93
24.

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

a)

65

b)

130

c)

90

d)

25

25.

What is the value of x and y?

a)

x=75°; y=93°

b)

x=65°;y=104°

c)

x=75°; y=94°

d)

x=65°; y=93

26.

what are the values of c and d?

a)

c = 218, d = 71

b)

d = 109, c = 71

c)

c = 142, d = 218

d)

c = 142, d = 109

27.

What is the measure of angle c and d?

a)

c = 21, d = 50

b)

c = 63, d = 78

c)

c = 78, d = 63

d)

c = 10, d = 50

28.

What are the sizes of a and b?

a)

a = 57, b = 114

b)

a = 57, b = 57

c)

a = 114, b = 57

d)

a = 57, b = 28.5

29.

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

a)

90

b)

43

c)

47

d)

53

30.

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

a)

63

b)

126

c)

54

d)

90

31.

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

a)

88

b)

75

c)

92

d)

102

32.

Is XY tangent to circle Z?

a)

Yes, pythagorean theorem works

b)

No, pythagorean theorem does not work

c)

Yes, the radius is equal to the tangent

d)

No, the angles are acute