Free Printable Circle Geometry

1.

a)

13.5 degrees

b)

27 degrees

c)

54 degrees

d)

63 degrees

2.

a)

77

b)

103

c)

154

d)

206

3.

a)

66 degrees

b)

114 degrees

c)

132 degrees

d)

228 degrees

4.

a)

43 degrees

b)

47 degrees

c)

86 degrees

d)

94 degrees

5.

Theorem statement

a)

Line perpendicular to chord

b)

Perpendicular bisector of chord

c)

Line from centre perpendicular to chord

d)

Line thru centre and midpoint

6.

Theorem Statement:

a)

Angle at centre = 2x angle at circumference

b)

Angle at centre = 2x angle at arc

c)

Angle at centre = angle at circumference

d)

Angle at centre = angle at arc

7.

x =

a)

30

b)

90

c)

60

8.

y =

a)

23

b)

46

c)

180 - 23

d)

11,5

9.

x = ? and y = ?

a)

x= 20 and y = 15

b)

x = 15 and y = 20

c)

x = 20 and y = 20

d)

x = 15 and y = 15

10.

x = ? and y = ?

a)

x = 80 and y = 70

b)

x = 110 and y = 100

c)

x = 100 and y = 110

d)

x = 70 and y = 80

11.

Angle ABO = ?

a)

90 (int <s of triangle)

b)

180 - 5x (int <'s of triangle)

c)

90 (angles on str line)

d)

90 (tan perpendicular to radius)

12.

x = ? ; y = ? and m = ?

a)

x = 48; y = 90 and m = 42

b)

x = 117 ; y = 42 and m = 21

c)

x = 21; y = 90 and m = 42

d)

x = 69 ; y = 90 and m = 21

13.

Theorem:

a)

Tan chord theorem - Acute angle

b)

Tan chord theorem - Obtuse angle

c)

Angle between tangent and chord - Acute angle

d)

Angle between tangent and chord - Obtuse angle

14.

Theorem:

a)

Angle between tangent and chord - Acute angle

b)

Angle between tangent and chord - Obtuse angle

c)

Tan chord theorem - Acute angle

d)

Tan chord theorem - Obtuse angle

15.

Which of the following is the definition of a Chord?

a)

Line that intersects a circle in two places

b)

Segment whose endpoints are on a circle

c)

Line that intersects the circle in OAOO point

d)

Segment whose endpoints are the center and any point on the circle

16.

Determine x.

a)

32

b)

16

c)

64

d)

21

17.

Find a.

a)

30

b)

21

c)

60

d)

120

18.

Calculate q.

a)

40

b)

140

c)

128

d)

52

19.

Find angle A.

a)

63

b)

21

c)

44

d)

85

20.

Lines AO and BO are tangent. What is the measure of BO?

a)

20

b)

15

c)

10

d)

5

21.

Is line AB tangent to the circle?

a)

YES

b)

NO
NO

c)

Not Enough Info

22.

Which is the correct way to solve this?

a)

70=(180+x)/2

b)

70=(180-x)/2

c)

x=(180+70)/2

d)

x=(180-70)/2

23.

Which is the correct way to solve this?

a)

x=(360-110)/2

b)

x=110/2

c)

x=(250-110)/2

d)

x=(250+110)/2

24.

what is the measure of angle c

a)

21

b)

63

c)

117

d)

10

25.

a)

43 degrees

b)

47 degrees

c)

86 degrees

d)

94 degrees

26.

In the diagram, two chords intersect in the interior of the circle, forming a vertex. Solve for the value of "x"

a)

95°

b)

110°

c)

120°

d)

115°

27.

The distance from the center of the circle to any point on the circle is called the...

a)

radius

b)

diameter

c)

circumference

d)

area

28.

The distance halfway across the circle is called the...

a)

radius

b)

diameter

c)

circumference

d)

area

29.

The perimeter of a circle is usually called the...

a)

radius

b)

diameter

c)

circumference

d)

area

30.

The angle at the centre of a circle is ... the size of the angle at the circumference

a)

equal to

b)

twice

c)

three times

d)

four times

31.

Choose the correct image to match the description: The line segment joining the center of a circle to the midpoint of the chord is perpendicular to the chord.

a)

b)

c)

d)

32.

What is a tangent?

a)

Tangent is a line that cuts the circle twice

b)

Line from centre of the circle to the circumference

c)

Line through the centre of the circle

d)

A line that merely touches the circumference of the circle

33.

Calculate q.

a)

40

b)

140

c)

128

d)

52

34.

Is the red line a radius or diameter of the circle?

a)

Radius

b)

Diameter

35.

Is the red line a radius or diameter of the circle?

a)

Radius

b)

Diameter

36.

Is the red line a radius or diameter of the circle?

a)

Radius

b)

Diameter

37.

What is the value of angle RST?

a)

86°

b)

43°

c)

172°

d)

90°

38.

Find the measurement of angle PRQ.

a)

39°

b)

90°

c)

51°

d)

15°

39.

Find the measurement of angle PRQ.

a)

39°

b)

90°

c)

51°

d)

15°

40.

_m∠DEF

a)

39^°

b)

78^°

c)

29°

d)

58°

41.

m∠LKM

a)

26°

b)

102°

c)

52°

d)

51°

42.

A circular loom can be used for knitting. What is the m∠QTR in the knitting loom?

a)

110°

b)

100°

c)

90°

d)

45°

43.

x =

a)

112.5

b)

90

c)

115

d)

110.5

44.

a)

46°

b)

7°

c)

50°

d)

49°

45.

m∠KMN

a)

86°

b)

43°

c)

95°

d)

47.5°

46.

a)

100°

b)

50°

c)

110°

d)

55°

47.

a)

56°

b)

112°

c)

68°

d)

224°

48.

This is a picture of ___________.

a)

Minor Arc

b)

Major Arc

c)

Semi-Circle

d)

Central Angle

49.

This is a picture of ___________.

a)

Minor Arc

b)

Major Arc

c)

Semi-Circle

d)

Central Angle

50.

This is a picture of ___________.

a)

Chord

b)

Diameter

c)

Radius

d)

Inscribed Angle

51.

Find angle x.

a)

75

b)

85 degrees

c)

80 degrees

d)

78 degrees

52.

a)

A

b)

B

c)

C

d)

D

53.

a)

A

b)

B

c)

C

d)

D

54.

Choose the correct answer.

a)

13

b)

24

c)

9.5

d)

12

55.

a)

A

b)

B

c)

C

d)

D

Circle Geometry

Total questions: 55

Worksheet time: 3hrs 20mins

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