Free Printable Circle Theorems

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)

50

b)

100

c)

80

d)

90

3.

What is the m∠ADB?

a)

16^o

b)

32^o

c)

64^o

d)

14^o

4.

Calculate x

a)

262

b)

98

c)

252

d)

49

5.

What is the value of x?

a)

18

b)

8

c)

10

d)

30

6.

What is the length of TR?

a)

4

b)

6

c)

9

d)

11

7.

QS is a tangent to circle P. Find QS.

a)

144

b)

14

c)

12

d)

13

8.

What part of the circle is present?

a)

Tangent

b)

Secant

c)

Chord

d)

Diameter

9.

What part of the circle is present?

a)

diameter

b)

radius

c)

chord

d)

secant

10.

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

a)

63

b)

126

c)

54

d)

90

11.

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

12.

What is the size of angle x?

a)

19^o

b)

76^o

c)

39^o

d)

38^o

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.

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

15.

Solve for x

a)

6

b)

7

c)

8

d)

9

16.

Which other angle in the diagram is 75 degrees?

a)

A

b)

B

c)

C

d)

D

17.

ST and UT are tangents to the circle with centre O. OVT is a straight line. If $\angle SVT\ =\ 123\degree$ , calculate $\angle VST$

(a)

18.

A, B, C, D and E are points on a circle. AB = AE, $\angle EAB\ =\ 130\degree$ and $\angle EDC\ =\ 110\degree$ , calculate $\angle ABC$

(a)

19.

EFGH is a cyclic quadrilateral with EH parallel to FG. DG is a diameter of the circle, centre O. Given that $\angle DOH\ =\ 82\degree$ and $\angle DGE\ =\ 17\degree$ , calculate $\angle HEG$

(a)

20.

Solve for x

a)

90

b)

14.5

c)

19.5

d)

25.5

Circle Theorems

Total questions: 20

Worksheet time: 2hrs 40mins

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