Free Printable Circles Review

1.

PR is an example of a ____

a)

secant

b)

tangent

c)

diameter

d)

radius

2.

Line k is an example of a ______

a)

tangent

b)

secant

c)

chord

d)

radius

3.

What is an example of a point of tangency?

a)

A

b)

F

c)

H

d)

B

4.

Line j is an example of a ______

a)

chord

b)

tangent

c)

diameter

d)

secant

5.

It is the distance around the circle. The "perimeter" of the circle.

a)

Chord

b)

Diameter

c)

Circumference

d)

Radius

6.

It is the distance from the center to any point in the circle.

a)

Circumference

b)

Diameter

c)

Segment

d)

Radius

7.

It is an area enclosed by a chord and an arc

a)

Tangent

b)

Segment

c)

Sector

d)

Diameter

8.

It is an area enclosed by two radii and an arc

a)

Tangent

b)

Segment

c)

Sector

d)

Diameter

9.

It is a straight line outside the circle that touches the circumference at one point

a)

Segment

b)

Chord

c)

Radius

d)

Tangent

10.

It is a part of the circumference of any circle

a)

Arc

b)

Chord

c)

Radius

d)

Diameter

11.

It is the distance across the circle that passes through the center

a)

Radius

b)

Diameter

c)

Circumference

d)

Chord

12.

It is a straight line that touches two points of the circumference but does NOT pass through the center

a)

Radius

b)

Diameter

c)

Circumference

d)

Chord

13.

Name the pictured part of the circle.

a)

Diameter

b)

Sector

c)

Radius

d)

Central Angle

e)

Arc

14.

Name the pictured part of the circle.

a)

Radius

b)

Central Angle

c)

Sector

d)

Center

e)

Arc

15.

Name the pictured part of the circle.

a)

Diameter

b)

Sector

c)

Radius

d)

Central Angle

e)

Arc

16.

Name a semicircle.

a)

AD

b)

ABC

c)

BA

d)

BCA

17.

Name a major arc.

*uses 3 letters*

a)

ABD

b)

BDA

c)

BCD

d)

DCA

18.

Name a minor arc

a)

AD

b)

ADB

c)

AB

d)

CD

19.

What is the measure of arc AB?

a)

140

b)

142

c)

180

d)

153

20.

Which of the following is the formula for the CIRCUMFERENCE of a circle? (Select all that apply)

a)

$2\pi r$

b)

$\pi d$

c)

$2\pi r^2$

d)

$\pi r^2$

21.

Find the length of the bold arc. Leave pi in your answer.

a)

5688π ft

b)

15.8π ft

c)

150.4π ft

d)

54,150 ft

22.

In circle O, the radius is 4, and the length of minor arc AB is 4.2 feet. Find the measure of minor arc AB to the nearest degree.

a)

90

b)

60

c)

55

d)

113

23.

What is the area of this circle?

a)

82.13 m²

b)

78.50 m²

c)

314.16 m²

d)

170.12 m²

24.

Madalyn's dining room table is round and has a radius of 4.5 feet. What is the tabletop's area?

a)

63.585 ft²

b)

68.345 ft²

c)

64.585 ft²

d)

61.345 ft²

25.

Find the area of the sector outlined in bold.

a)

52.4 in²

b)

18,864 in²

c)

60 in²

d)

10.47 in

26.

A cathedral window is built in the shape of a semicircle. If the window is to contain three stained glass sections of equal size, what is the area of each stained glass section? Express answer to the nearest square foot.

a)

1 sq. ft

b)

13 sq. ft

c)

3 sq. ft

d)

26 sq. ft

27.

Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer to the nearest tenth of a square inch.

a)

9.2 sq. in.

b)

10.5 sq. in.

c)

31.4 sq. in.

d)

38.2 sq. in.

28.

Find the center: $\left(x+4\right)^2+\left(y-2\right)^2\ =\ 25$

a)

(4, 2)

b)

(-4, -2)

c)

(-4, 2)

d)

(4, -2)

29.

Find the radius: $\left(x+4\right)^2+\left(y-2\right)^2\ =\ 25$

a)

2.5

b)

5

c)

25

d)

50

30.

Find the center: $\left(x-7\right)^2+y^2\ =\ 25$

a)

(7, 0)

b)

(-7, 0)

c)

(7, 1)

d)

(-7, -1)

31.

Find the diameter: $\left(x-3\right)^2+\left(y+1\right)^2=49$

a)

3.5

b)

7

c)

14

d)

49

32.

$x^2+\left(y+10\right)^2=42.25$ Find the center:

a)

(0, 10)

b)

(0, -10)

c)

(1, 10)

d)

(1, -10)

33.

What is the equation of the circle?

center: (5, 3), radius: 2

a)

$\left(x-5\right)^2+\left(y-3\right)^2=2$

b)

$\left(x-5\right)^2+\left(y-3\right)^2=4$

c)

$\left(x+5\right)^2+\left(y+3\right)^2=2$

d)

$\left(x+5\right)^2+\left(y+3\right)^2=4$

34.

What is the equation of the circle?

center: (0, -3), radius: 5

a)

$x^2+\left(y+3\right)^2=2.5$

b)

$x^2+\left(y-3\right)^2=5$

c)

$x^2+\left(y+3\right)^2=25$

d)

$x^2+\left(y-3\right)^2=25$

35.

What is the equation of the circle?

center: (4, 0), diameter: 6

a)

$\left(x-4\right)^2+y^2=9$

b)

$\left(x+4\right)^2+y^2=9$

c)

$\left(x-4\right)^2+y^2=36$

d)

$\left(x+4\right)^2+y^2=36$

36.

Name the pictured part of the circle.

a)

Radius

b)

Central Angle

c)

Sector

d)

Center

e)

Arc

37.

Name the pictured part of the circle.

a)

Center

b)

Sector

c)

Radius

d)

Central Angle

e)

Arc

38.

Name the pictured part of the circle.

a)

Diameter

b)

Sector

c)

Radius

d)

Chord

e)

Arc

39.

Which one of these is NOT a chord?

a)

$\overline{ZY}$

b)

$\overline{PM}$

c)

$\overline{CD}$

d)

$\overline{AN}$

40.

What is this called?

a)

Inscribed Angle

b)

Circumscribed Angle

c)

Central Angle

41.

An angle whose vertex is the center of a circle is a(n) ______.

a)

inscribed angle

b)

acute angle

c)

obtuse angle

d)

central angle

42.

What is the measure of arc KL?

a)

108

b)

106

c)

110

d)

112

43.

What is the measure of angle DEF?

a)

72

b)

73

c)

74

d)

75

44.

What is the measure of angle ABC?

a)

90

b)

180

c)

45

d)

80

45.

Which is true of a minor arc?

a)

It forms half a circle.

b)

It forms a whole circle.

c)

It measures greater than 180 degrees.

d)

It measures less than 180 degrees.

46.

Which is true of a major arc?

a)

Forms half a circle.

b)

Forms a whole circle.

c)

Measures greater than 180 degrees.

d)

Measures less than 180 degrees.

47.

An arc is a smaller piece of the...

a)

Chord

b)

Center

c)

Circumference

d)

Radius

48.

If you divide the circumference of a circle by its diameter, what answer will you always get?

a)

The radius

b)

The area

c)

Pi

d)

cake

49.

What is the equation of the circle?

a)

(x+1)² + (y +1)² = 3

b)

(x+1)² + (y -1)² = 3

c)

(x+1)² + (y +1)² = 9

d)

(x-1)² + (y -1)² = 9

50.

What would be the best representation of a circle in real life?

a)

a hula hoop

b)

a basketball

c)

a sweet potato pie half eaten

d)

a slice of pizza

Circles Review

Total questions: 50

Worksheet time: 44mins

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