Free Printable Circles Test

1.

Name the radius.

Select all that apply.

a)

$\overline{QT}$

b)

$\overline{QS}$

c)

$\overline{PS}$

d)

$\overline{RT}$

e)

$\overline{TS}$

2.

Name the diameter.

a)

$\overline{QT}$

b)

$\overline{QS}$

c)

$\overline{PS}$

d)

$\overline{RT}$

3.

Name a central angle.

Select all that apply.

a)

∠PSQ

b)

∠QTR

c)

∠RTS

d)

∠PSR

4.

Find the measure of arc RS.

a)

160º

b)

138º

c)

147º

d)

200º

5.

Find the central angle, x.

a)

x = 45^o

b)

x = 90^o

c)

x = 22.5^o

d)

x = 128^o

6.

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

a)

$5688\pi\ ft$

b)

$15.8\pi\ ft$

c)

$150.4π\ ft$

d)

$49.64\ ft$

7.

Find the length of the minor arc.
Leave your answer in terms of $\pi$ .

a)

$\frac{7}{4}\pi$ cm

b)

$\frac{7}{2}\pi$ cm

c)

$\frac{1}{8}\pi$ cm

d)

$45\pi$ cm

8.

What is the arc measure of major arc DBC in degrees?

a)

19º

b)

341º

c)

180º

d)

161º

9.

Name the tangent.

a)

$\overline{AB}$

b)

$\overline{BC}$

c)

$\overleftarrow{A}\overrightarrow{C}$

d)

$\overleftarrow{B}\overrightarrow{D}$

10.

A wheel on Elliot’s truck has a circumference of 22 in.

Determine the radius of the wheel to the nearest tenth.

a)

r = 2.5 in.

b)

r = 3.5 in.

c)

r = 5 in.

d)

r = 7 in.

11.

In ⨀C, m(arcAB)= 72º.

Find m∠BCD.

a)

72º

b)

108º

c)

144º

d)

180º

12.

Find the length of (arc PQ) in ⨀R to the nearest hundredth.

a)

9.42 m

b)

3.14 m

c)

4.71 m

d)

1.57 m

13.

Find the area of the sector.

Round to the nearest tenth.

a)

14.0 in²

b)

4.4 in²

c)

3.5 in²

d)

7.0 in²

14.

Find m∠ABC.

a)

50º

b)

70º

c)

90º

d)

140º

15.

If m∠MON = 86º, find m∠MPN.

a)

86º

b)

45º

c)

43º

d)

30º

16.

Find x if m∠1 = 2x + 10 and m∠2 = 3x – 6.

a)

x = 4

b)

x = 16

c)

x = 24

d)

x = 42

17.

If MN, NO, and MO are tangents to ⨀P, find x.

a)

2 m

b)

5 m

c)

6 m

d)

8 m

18.

If AB is tangent to ⨀C at A, find BC.

(hint: use SohCahToa)

a)

6 in.

b)

$4\sqrt{3}$ in.

c)

$12\sqrt{3}$ in.

d)

24 in.

19.

The diameter of a circle painted by Michael is 12ft.

What is the length of the radius?

a)

r = 9 ft

b)

r = 6 ft

c)

r = 22 ft

d)

r = 24 ft

20.

Landon drew a circle with a radius = 4 m.

What is the diameter of the circle?

a)

d = 18 meters

b)

d = 8 meters

c)

d = 16 meters

d)

d = 2 meters

21.

What is the circumference of this circle?

a)

C = 62.8 ft

b)

C = 20 ft

c)

C = 31.4 ft

d)

C = 156.64 ft

22.

What is the area of this circle?

a)

A = 7

b)

A = 21.99

c)

A = 49

d)

A = 153.86

23.

Solve for x.

a)

x = 5

b)

x = 20

c)

x = 40

d)

x = 85

24.

Find the value of x.

a)

x = 15

b)

x = 23

c)

x = 2

d)

x = 92

25.

Find the measure of $\angle DEF$ .

a)

113º

b)

67º

c)

268º

d)

134º

26.

Alison is jogging on a circular track that has a radius of 140 feet. She runs along the track from point R to point N, an arc length of 230 feet.

Find to the nearest degree, the measure of minor arc RN.

a)

47º

b)

74º

c)

94º

d)

123º

27.

What is the difference in naming a minor vs. a major arc?

a)

Minor arcs have the arc symbol, major arcs do not.

b)

Minor arcs have 3 letters, major arcs have 2.

c)

Minor arcs have 2 letters, major arcs have 3.

d)

Minor arcs do not have the arc symbol, major arcs do.

28.

Find the area of the circle.

Round to the nearest hundredth.

a)

3,297.75 square inches

b)

1,017.88 square inches

c)

113.1 square inches

d)

56.55 square inches

29.

What is the measure of arc ED?

a)

$52\degree$

b)

$142\degree$

c)

$90\degree$

d)

$38\degree$

e)

$322\degree$

30.

Serena drew a circle with a circumference of 157 centimeters. What is the approximate diameter of the circle she drew?

a)

1.57 cm

b)

15.7 cm

c)

50 cm

d)

25 cm

31.

A bicycle trail in the shape of a circle has a diameter = 3 miles. Kristy biked around the trail 4 times.

To the nearest mile, how many miles did Kristy bike?

a)

38 miles

b)

40 miles

c)

35 miles

d)

33 miles

32.

How far does the tip of a minute hand on a clock travel, in 30 minutes, if the hand is 19 cm long? (arc length)
Leave your answer in terms of $\pi$ .

a)

$9.5\pi\ cm$

b)

$38\pi\ cm$

c)

$19\pi\ cm$

d)

$59.7\ cm$

33.

Find the value of x.

a)

x = 10

b)

x = 181

c)

x = 34

d)

x = 40

34.

Find the value of x.

a)

x = 12.5

b)

x = 8

c)

x = 35

d)

x = 16

35.

Solve for x.

a)

x = 90

b)

x = 12

c)

x = 47

d)

x = 45

36.

What is the value of $\overline{AB}$ ?

a)

AB = 22

b)

AB = 35

c)

AB = 15

d)

AB = 20

37.

In the diagram, a tangent and a line drawn to the point of tangency form a right triangle.
Find the length of $\overline{AO}$

a)

15

b)

6

c)

-24

d)

14

38.

Find m∠PRQ.

a)

39°

b)

90°

c)

51°

d)

15°

39.

Find the value of x.

a)

100º

b)

105º

c)

75º

d)

90º

40.

What is the perimeter of the circumscribed quadrilateral

a)

33cm

b)

36cm

c)

34cm

d)

35cm

Circles Test - Honors

Total questions: 40

Worksheet time: 3hrs 20mins

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