Free Printable Circle

1.

a)

A

b)

B

c)

C

d)

D

2.

Find the value of x.

a)

15

b)

13

c)

3

d)

6

3.

Find the measure of the arc or central angle indicated. Assume that lines which appear tangent are tangent.

a)

A

b)

B

c)

C

d)

D

4.

Find the measure of the arc or central angle indicated. Assume that lines which appear tangent are tangent.

a)

A

b)

B

c)

C

d)

D

5.

Find the measure of the arc or central angle indicated. Assume that lines which appear tangent are tangent.

a)

A

b)

B

c)

C

d)

D

6.

Find the measure of the arc or central angle indicated. Assume that lines which appear tangent are tangent.

a)

A

b)

B

c)

C

d)

D

7.

Find the measure of the arc or central angle indicated. Assume that lines which appear tangent are tangent.

a)

A

b)

B

c)

C

d)

D

8.

Solve for x. Assume that lines that appear to be diameters are actual diameters.

a)

A

b)

B

c)

C

d)

D

9.

Solve for x. Assume that lines that appear to be diameters are actual diameters.

a)

A

b)

B

c)

C

d)

D

10.

Find the measure of the arc or angle indicated.

a)

A

b)

B

c)

C

d)

D

11.

What is true of the two angles highlighted?

a)

They are central angles

b)

They are congruent

c)

They are supplementary

d)

They from a triangle

12.

Find the measure of the arc or angle indicated.

a)

A

b)

B

c)

C

d)

D

13.

What is the measure of arc GF?

a)

168º

b)

336º

c)

24º

d)

192º

14.

Which is the correct equation to find the measure of angle KLM?

a)

x = 1/2(140 - 66)

b)

x = 1/2(140+66)

c)

66 = 1/2(140 - x)

d)

66 = 1/2(140 + x)

15.

What is the measure of angle 1?

a)

130

b)

65

c)

44

d)

86

16.

A chord that passes through the center of the circle is a ________.

a)

chord

b)

diameter

c)

radius

d)

tangent

17.

What is the value of x?

a)

22

b)

25

c)

15

d)

20

18.

In a circle (or congruent circles), congruent arcs:

a)

have congruent chords

b)

have congruent points

c)

are twice the measure of their radii

d)

can climb a hippo

19.

In a circle (or congruent circles), chords that are the same distance from the center:

a)

are similar

b)

have the same name

c)

are congruent to each other

d)

are walking dead

20.

A tangent line intersecting with a radius always creates a ____________ angle

a)

right

b)

acute

c)

obtuse

d)

straight

21.

two tangent lines coming from the same external point are ______________

a)

similar

b)

congruent

c)

perpendicular

d)

parallel

22.

Assume that all the lines that appear tangent are tangent. Find the perimeter

a)

54

b)

36

c)

48

d)

42

23.

Find x

a)

10

b)

5

c)

18

d)

9

24.

Find the radius r

a)

2

b)

3

c)

4

d)

5

25.

Is line AB tangent to the circle?

a)

YES

b)

NO
NO

c)

Can't Tell
Can't Tell

26.

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

a)

20

b)

15

c)

10

d)

5

27.

In the diagram, a tangent and a line drawn to the point of tangency form a right triangle. Solve for "?" (the length of the hypotenuse)

a)

15

b)

6

c)

-24

d)

14

28.

A tangent line intersecting with a radius always creates a ____________ angle

a)

right

b)

acute

c)

obtuse

d)

straight

29.

A tangent to a circle is ________________________ to the radius drawn to the point of tangency.

a)

congruent

b)

perpendicular

c)

complimentary

d)

supplementary

30.

two tangent lines coming from the same external point are ______________

a)

similar

b)

congruent

c)

perpendicular

d)

parallel

31.

Solve for the value of x.

(a)

32.

Assume that all the lines that appear tangent are tangent. Calculate the perimeter.

(a)

33.

Solve for the value of y.

(a)

34.

Calculte the perimeter of the triangle.

(a)

35.

Calculate the value of x, if both segments are tangent to the circle.

(a)

36.

Solve for x.

(a)

37.

Lines AO and BO are tangent. Calculate the measure of BO.

(a)

38.

The radius of a circle is

a)

The measurement from the center of a circle to an edge of the circle.

b)

The measurement around the circle

c)

The measurement from and edge of the circle to another edge through the center

d)

A line perpendicular to the diameter of the circle

39.

Which best describes segment AB?

a)

chord

b)

secant

c)

tangent

d)

diameter

40.

Name the secant(s).

a)

segment WR

b)

line VT

c)

s

d)

segment WR and line VT

41.

Name the tangent line.

a)

s

b)

WR

c)

VT

d)

QR

42.

Name the chord(s).

a)

VT

b)

WR

c)

VT and WR

d)

s

43.

A line segment that passes through the center of a circle, connecting two points on a circle is called ________________.

a)

diameter

b)

radius

c)

circumference

d)

area

44.

What is the diameter?

a)

8

b)

16

c)

10

d)

4

45.

A tangent line intersecting with a radius always creates a ____________ angle

a)

right

b)

acute

c)

obtuse

d)

straight

46.

A bicycle tire has a diameter of 27 inches. What is the radius?

a)

27π

b)

13.5

c)

81

d)

25π

47.

What is the value of x?

a)

22

b)

25

c)

15

d)

20

48.

Assume that all the lines that appear tangent are tangent. Find the perimeter

a)

54

b)

36

c)

48

d)

42

49.

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

a)

20

b)

15

c)

10

d)

5

50.

Is line AB tangent to the circle?

a)

YES

b)

NO
NO

c)

Can't Tell
Can't Tell

51.

In the diagram, a tangent and a line drawn to the point of tangency form a right triangle. Solve for "?" (the length of the hypotenuse)

a)

15

b)

6

c)

-24

d)

14

52.

What is the radius?

a)

18

b)

72

c)

38

d)

14

53.

(x + 3)²

a)

x²+6x+9

b)

x²+9

c)

x²+9x+6

d)

x²+6

54.

(x−5)²

a)

x² +10x+25

b)

x² − 25

c)

x² −10x+25

d)

x² +25

55.

Find the radius r

a)

2

b)

3

c)

4

d)

5

56.

A line segment that extends between any two unique points of a circle without going through the center

a)

circle

b)

diameter

c)

chord

d)

radius

e)

circumference

57.

A set of points on a flat surface (plane) with every point equidistant (the same distance) from a given point called the center.

a)

chord

b)

circle

c)

radius

d)

diameter

e)

circumference

58.

A chord that goes through the center of a circle.

a)

chord

b)

radius

c)

diameter

d)

circle

e)

circumference

59.

The distance around the circle; the perimeter is the measure of the circumference

a)

circle

b)

chord

c)

diameter

d)

radius

e)

circumference

60.

A segment from the center of a circle to any point on the circle.

a)

circle

b)

diameter

c)

radius

d)

circumference

e)

chord

61.

What is line segment DE an example of?

a)

circle

b)

radius

c)

diameter

d)

chord

e)

circumference

62.

We can name this circle by which letter?

a)

D

b)

O

c)

A

d)

B

e)

C

63.

Find the value of x

a)

6

b)

13

c)

10

d)

9

64.

Find the value of x

a)

4

b)

18

c)

3

d)

9

65.

a)

A

b)

B

c)

C

d)

D

66.

Find the measure of angle ABD.

a)

14

b)

51

c)

37

d)

65

67.

Solve for x.

a)

29

b)

33

c)

41.5

d)

50

68.

What is the measure of angle 2?

a)

80

b)

45

c)

125

d)

40

69.

Find the value of x

a)

10

b)

15

c)

12

d)

19

70.

What is the value of x?

a)

22

b)

25

c)

15

d)

20

71.

What is the diameter?

a)

8

b)

16

c)

10

d)

4

72.

What is the radius?

a)

18

b)

72

c)

38

d)

14

73.

QS is a tangent to circle P. Find QS.

a)

144

b)

14

c)

12

d)

13

74.

How many degrees are in a cirlce?

a)

90

b)

180

c)

270

d)

360

75.

In the equation (x-3)²+(y-2)²=16, the center of the circle is...

a)

(3,2)

b)

(-3, -2)

c)

(-2, -3)

d)

(2, 3)

76.

In the equation (x+2)²+(y-3)²=4, the radius of the circle is...

a)

4

b)

2

c)

3

d)

16

77.

Write the standard equation of the circle with the given center and radius; center (0,0) and radius: 3

a)

x²+y²=3

b)

x²+y²=6

c)

x²+y²=9

78.

The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.

a)

(x - 2)²+ (y + 5)²= 36

b)

(x - 5)² + (y + 2)² = 6

c)

(x + 5)²+ (y - 2)²= 36

d)

(x + 2)²+ (y - 5)²= 6

Circle

Total questions: 78

Worksheet time: 8hrs 34mins

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