Free Printable Basics of Circles Practice Test

1.

The definition of a circle is

a)

set of all points in a plain that are the same distance from a point called the center

b)

the distance around a share

c)

a large figure

d)

a pizza, orange, plum, or watermelon

2.

Which part of the circle is represented in the image?

a)

diameter

b)

radius

c)

circumference

3.

Which part of the circle is represented in the picture?

a)

diameter

b)

radius

c)

circumference

4.

Which part of the circle is represented in the picture?

a)

diameter

b)

radius

c)

circumference

5.

The radius of a circle is 2 times bigger than the diameter.

a)

True

b)

False

6.

The diameter of a circle is twice the size of the radius.

a)

True

b)

False

7.

A line segment from the center of a circle to any point on the circle is called the:

a)

diameter

b)

radius

c)

circumference

8.

A segment with its endpoints on the circle that passes through the center is the:

a)

diameter

b)

radius

c)

circumference

9.

What is the measure of the radius of the circle?

(a)

10.

What is the measure of the diameter of the circle?

(a)

11.

What is the measure of the radius of the circle?

(a)

12.

What is the measure of the radius of the circle?

(a)

13.

What is the formula for the area of a circle?

a)

2 π r

b)

π d

c)

π d²

d)

π r²

14.

What is being represented in the image?

a)

Central Angle

b)

Interior Angle

c)

Chord

d)

Diameter

15.

Which one of these is NOT a chord?

a)

$\overline{ZY}$

b)

$\overline{PM}$

c)

$\overline{CD}$

d)

$\overline{AN}$

16.

Name the pictured part of the circle.

a)

Diameter

b)

Sector

c)

Radius

d)

Chord

e)

Arc

17.

A secant:

a)

goes through the circle and intersects 2 times with the circle

b)

connects 1 time with the circle

c)

is only inside the circle

d)

always goes through the center of the circle

18.

Which one is a secant?

a)

segment MP

b)

segment DC

c)

line DC

d)

segment NA

19.

________ is tangent to the circle.

a)

$\overline{XP}$

b)

$\overline{MP}$

c)

$\overline{DC}$

d)

$\overline{NA}$

20.

Which of the following are pictures of chords?

a)

b)

c)

d)

21.

What is this theta in this picture?

a)

Circumscribed Angle

b)

Inscribed Angle

c)

Central Angle

d)

Sector

22.

What is segment PQ?

a)

diameter

b)

radius

c)

tangent

d)

chord

23.

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.

24.

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.

25.

Name a minor arc

a)

AD

b)

ADB

c)

AB

d)

CD

26.

Name a major arc.

a)

ABD

b)

BDA

c)

BCD

d)

DA

27.

What is the measure of arc AD?

a)

38

b)

142

c)

180

d)

153

28.

What is the measure of arc AB?

a)

140

b)

142

c)

180

d)

153

29.

What is the measure of arc AXB

a)

50

b)

100

c)

180

d)

260

30.

What is the measure of ∠PTQ?

a)

100°

b)

140°

c)

180°

d)

120°

31.

Solve for x.

a)

5

b)

20

c)

40

d)

85

32.

Solve for x.

a)

x = 6.45

b)

x = 8

c)

x = 12.6

d)

x = 7

33.

If the measure of arc ABC = 210°, what is the measure of arc AC?

a)

150°

b)

100°

34.

What is the measure of ∠PTQ?

a)

100°

b)

140°

35.

Name a minor arc

a)

AB

b)

BDA

36.

a)

Secant

b)

Chord

c)

Tangent

37.

Name a semicircle arc

a)

ABD

b)

DAB

38.

what is the circumference of this circle ?

a)

3.14 cm

b)

37.68 cm

c)

24 cm

d)

68.4 cm

39.

Find the circumference (to the nearest whole number)

a)

88 in

b)

44 in

c)

116 square in

d)

None of the above

40.

What is the area of this circle?

a)

82.13 m²

b)

78.50 m²

c)

314.16 m²

d)

170.12 m²

41.

What is the area of this circle?

a)

62.59 cm²

b)

113.1 cm²

c)

19.81 cm²

d)

28.26 cm²

42.

Find the area of the shaded sector of the circle.

a)

b)

c)

d)

43.

What is the area of the shaded sector?

a)

339.12 in²

b)

113.04 in²

c)

339.29 in²

d)

None of the above

44.

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.

45.

is the formula for?

a)

arc length

b)

area of a sector

c)

area of a segment

d)

arc measure

46.

Find the length of the arc to 2dp

a)

7.07cm

b)

14.13cm

c)

28.27cm

d)

42.41cm

47.

What is the formula for finding the circumference of a circle?

a)

C = r²

b)

C = rd

c)

A = π·r²

d)

C = π·d

48.

Find the length of the arc to 2dp

a)

115.61cm

b)

28.90cm

c)

57.81cm

d)

86.71cm

49.

Find the length of the arc to 2dp

a)

5.76cm

b)

18.85cm

c)

7.33cm

d)

11.52cm

50.

Find the length of the arc to 2dp

a)

1.95cm

b)

3.91cm

c)

0.98cm

d)

2.93cm

51.

Find the arc length. Leave your answer in terms of π.

a)

7/4π

b)

7/2π

c)

1/8π

d)

45π

52.

Find the arc length of the bolded arc. Give your answer in terms of π.

a)

(65/12)π cm

b)

17.02 cm

c)

(845/24)π cm

d)

26π cm

53.

FIND THE ARC LENGTH OF THE BOLDED ARC

a)

A

b)

B

c)

C

d)

D

54.

FIND THE ARC LENGTH OF THE BOLDED ARC

a)

A

b)

B

c)

C

d)

D

55.

Find the length of the minor arc.

a)

$9\pi$ in.

b)

$\frac{9}{2}\pi$ in.

c)

$\frac{1}{8}\pi$ in.

d)

$64\pi$ in.

56.

Find the length of arc MPN.

a)

$\frac{21}{4}\pi$ in.

b)

$\frac{21}{8}\pi$ in

c)

$\frac{35}{8}\pi$ in

d)

$\frac{35}{4}\pi\$ in

57.

Does this picture show the diameter or radius of a circle?

a)

Diameter

b)

Radius

58.

Does this picture show the diameter or radius of a circle?

a)

Diameter

b)

Radius

59.

The space contained inside of a circle is called the...

a)

radius

b)

diameter

c)

circumference

d)

area

60.

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

a)

radius

b)

diameter

c)

circumference

d)

area

Basics of Circles Practice Test

Total questions: 60

Worksheet time: 19hrs 45mins

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