Free Printable Circles Review

1.

2. measure of angle UXV

a)

267

b)

21

c)

93

d)

108

e)

72

2.

2. measure of arc ST

a)

267

b)

21

c)

93

d)

108

e)

72

3.

3. measure of arc GDF

a)

236

b)

124

c)

90

d)

304

4.

If <ACB and <DCE are congruent central angles of circle C, then arc AB and DE are...

a)

similar

b)

equal

c)

congruent

d)

not related

5.

What is the measure of the major arc?

a)

$90^o$

b)

$360^o$

c)

$225^o$

d)

$135^o$

6.

Find the given angle.

a)

59°

b)

118°

c)

70°

d)

242°

7.

What is the measure of arc FE?

a)

54°

b)

126°

c)

117°

d)

31.5°

8.

What is the measure of angle A?

a)

95°

b)

169°

c)

191°

d)

79°

9.

What is x?

a)

5

b)

23

c)

2

d)

28

10.

Solve for x.

a)

167

b)

11

c)

9

d)

118

11.

What is the measure of angle K and angle M?

a)

$m\angle K=100\ \ \ \&\ \ m\angle M=100$

b)

$m\angle K=50\ \ \ \&\ \ m\angle M=50$

c)

$m\angle K=100\ \ \&\ \ m\angle M=50$

d)

$m\angle K=50\ \ \&\ \ m\angle M=100$

12.

Find the measure of <F

a)

46

b)

5

c)

90

d)

1.8

13.

What is the measure of angle 2?

a)

80

b)

45

c)

125

d)

40

14.

Solve for x.

a)

29

b)

33

c)

41.5

d)

50

15.

solve for the value of x

a)

7⁰

b)

14⁰

c)

164⁰

d)

328⁰

16.

Which number best represents an inscribed angle?

a)

1

b)

2

c)

8

d)

9

17.

Determine the value of x using the information in the diagram.

a)

267º

b)

133.5º

c)

117º

d)

84º

18.

Point C is the _____________ of the circle.

a)

Point of Tangency

b)

Central Angle

c)

Center

d)

Radius

19.

$\overline{FG}$ is the _____________ of the circle.

a)

Radius

b)

Secant

c)

Tangent

d)

Diameter

20.

Line AB is the _____________ of the circle.

a)

Chord

b)

Secant

c)

Tangent

d)

Diameter

21.

$\overline{EC}\ and\ \overline{FC}$ are both _____________ of the circle.

a)

Chord

b)

Secant

c)

Tangent

d)

Radi(plural for radius)

22.

Name the tangent of Circle C.

a)

Line EI

b)

Line AB

c)

Line BD

d)

Line GH

23.

Name the chord of Circle C.

a)

Line Segment AB

b)

Line Segment CE

c)

Line EI

d)

Line Segment GH

24.

Name a minor arc.

a)

Arc ADB

b)

Arc AD

c)

Arc BD

d)

None

25.

Name a semicircle.

a)

Arc ADB

b)

Arc AD

c)

Arc BD

d)

None

26.

Match the following

a)

1.

Secant

b)

2.

Tangent

c)

3.

Chord

d)

4.

Diameter

e)

5.

Radius

27.

Match the following.

a)

1.

Semicircle

b)

2.

Minor Arc

c)

3.

Major Arc

28.

Solve for the measure of arc CFD. undefined and undefined are diameters.

a)

$261\degree$

b)

$216\degree$

c)

$315\degree$

d)

$306\degree$

29.

In the diagram, line $\overline{GE}$ is a

a)

secant

b)

chord

c)

tangent

d)

common tangent

30.

In the diagram $\overline{CF}$ and $\overline{BE\ }$ are diameters. What is measure of minor arc FE?

a)

$81\degree$

b)

$45\degree$

c)

$55\degree$

d)

$99\degree$

31.

Find the given angle.

a)

59°

b)

118°

c)

70°

d)

242°

32.

Solve for x.

a)

167

b)

11

c)

9

d)

118

33.

Find the measure of angle R.

a)

32

b)

24

c)

22

d)

47

34.

Find the measure of angle H.

a)

40

b)

37

c)

23

d)

26

35.

Find the measure of angle B.

a)

32

b)

24

c)

44

d)

36

36.

Find the measure of angle T.

a)

99

b)

102

c)

75

d)

145

37.

Find the measure of arc BC.

a)

80

b)

106

c)

104

d)

57

38.

Find the measure of arc LM.

a)

92

b)

51

c)

97

d)

77

39.

Which of the following is the formula for arc length?

a)

$2\pi r$

b)

$\pi r^2$

c)

$\frac{x}{360}$

d)

$2\pi r\left(\frac{x\degree}{360}\right)$

40.

What is the diameter?

a)

5 in

b)

10 in

c)

3.14 in

d)

15.84 in

41.

Which Law would you use?

a)

Law of Sines

b)

Law of Cosines

c)

Law of the Jungle

d)

Law of Gravity

42.

Which Law would you use?

a)

Law of Sines

b)

Law of Cosines

c)

Law of the Jungle

d)

Law of Gravity

43.

What is the measure of angle A?

a)

50 degrees

b)

60 degrees

c)

78 degrees

d)

74 degrees

44.

How many triangles can you make if A=53, b=6, and a=4?

a)

0

b)

1

c)

2

d)

Infinitely many

45.

Find QR

a)

34.7 km

b)

2.2 km

c)

13.74

d)

31.1 km

46.

Find BC

a)

A

b)

B

c)

C

d)

D

47.

What is the measure of angle A?

a)

50 degrees

b)

60 degrees

c)

78 degrees

d)

74 degrees

48.

Calculate the length of AC.

a)

30

b)

24

c)

27

d)

35

49.

Based on the given information determine the number of unique triangles that may exist.

A= 37°, a=8, b=14

a)

1 Triangle

b)

2 Triangles

c)

No Triangles

d)

3 Triangles

50.

Which of the following is not a Law of Sines problem?

a)

AAS

b)

SSA

c)

SAS

d)

ASA

51.

a)

6.99

b)

6.33

c)

13.59

d)

7.83

52.

A yacht is anchored 90 feet offshore from the base of a lighthouse. The angle of elevation from the boat to the top of the lighthouse is 26 degrees. Which of these is nearest to the height of the lighthouse?

a)

25 feet

b)

44 feet

c)

81 feet

d)

185 feet

53.

Find AB

a)

10

b)

8

c)

6.1

d)

4.9

54.

In circle A, the degree measure of minor arc 𝐵𝐷̂ is 47⁰. What is the measure of ∠𝐵𝐴𝐷?

a)

45⁰

b)

47⁰

c)

51⁰

d)

94⁰

55.

What is the measure of the inscribed angle ∠𝐵𝐶𝐸 if the measure of arc 𝐵̂𝐸 is 76⁰?

a)

34⁰

b)

38⁰

c)

76⁰

d)

152⁰

56.

If the measure of minor arcs 𝐶̂𝐷 and 𝐷̂𝐹 are 44⁰ and 115⁰respectively, what is the measure of arc 𝐶̂𝐷𝐹?

a)

21⁰

b)

44⁰

c)

115⁰

d)

159⁰

57.

What is the value of x if both segments are tangent to the circle?

a)

A

b)

B

c)

C

d)

D

58.

Using the tangent lines, find the value of x.

a)

60

b)

120

c)

30

d)

300

59.

Solve for "?"

a)

70

b)

220

c)

110

d)

55

60.

Find x. Assume that segments that appear to be tangent are tangent.

a)

2

b)

11

c)

7.6

d)

9

61.

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

a)

20

b)

15

c)

10

d)

5

62.

In the figure, PA and PB are the tangents to a circle of center 'O'. ∠AOB= 120⁰ then ∠APB =

a)

60⁰

b)

30⁰

c)

120⁰

d)

75⁰

63.

Point O is the center of each circle. Assume the lines that appear to be tangent are tangent. What is the value of the variable?

a)

26

b)

57

c)

66

d)

114

64.

What can you conclude about tangent AB and AC?

a)

AB and AC are not congruent.

b)

AB= half of AC

c)

AC = half of AB

d)

AB=AC

65.

Given Angle ABC has a measure of 50 degrees, find the measure of Arc AC.

(a)

66.

Find the measure of the central angle.

(a)

67.

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

68.

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

69.

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

70.

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

71.

Find the measure of arc AB.

a)

17

b)

34

c)

68

d)

146

72.

Find the measure of angle ABD.

a)

14

b)

51

c)

37

d)

65

73.

Find the measure of angle EFH.

a)

61

b)

65

c)

114

d)

130

74.

Determine the value of all three variables. Rank a, b, and c in order from greatest to least.

a)

a,b,c

b)

b,a,c

c)

c,a,b

d)

c,b,a

75.

The polygon circumscribes a circle. What is the perimeter of the polygon?

a)

140

b)

45

c)

70

d)

190

76.

The perimeter of the circumscribed polygon equals

a)

60.2

b)

145.8

c)

59.2

d)

none of the above

77.

Match the following part of the circle with its correct label.

a)

Center

1.

Point S

b)

Chord

2.

Segment XW $\overline{XW}$

c)

Radius

3.

$\overline{ST}$

Segment ST

d)

Diameter

4.

$\overline{QV}$

Segment QV

e)

Tangent Line

5.

$\overline{VU}$

Line VU

78.

What is the value of x? (Hint: Segment Lengths in Circles)

a)

1.03

b)

2.12

c)

1.25

d)

0.87

79.

What is the length of TR?

a)

4

b)

6

c)

9

d)

11

80.

Solve for a.

a)

6

b)

6.67

c)

8.33

d)

10

81.

Match the following

a)

1.

Central Angle

b)

2.

Inscribed angle

c)

3.

Overlapping Angles

d)

4.

Inscribed Quadrilateral

82.

Match the following

a)

1.

Central Angle

b)

2.

Inscribed Angle

c)

3.

Overlapping Angles inscribed in a circle

d)

4.

Oposite angles of an inscribed polygon

83.

Match the formula for segment lengths

a)

b)

c)

d)

84.

Match the formula for angle and arc measures.

a)

b)

c)

d)

85.

Match the formula for angles and arc measures.

a)

b)

c)

86.

Match the formula for segment measures.

a)

b)

c)

d)

87.

Match the formula for angle measures and arc lengths.

a)

b)

c)

d)

88.

Segment AB and AC are (a) to the circle and (b) to each other.

Choose from the below words

tangents

congruent

secants

chords

unequal

similar

89.

Choose all the correct formulas.

a)

$\frac{part}{whole}\times Circumference$

b)

$\frac{x}{360}\times\pi r^2$

c)

$\frac{x}{360}\times2\pi r$

d)

$\frac{part}{whole}\times Area$

90.

Choose all the correct formulas.

a)

$\frac{part}{whole}\times Circumference$

b)

$\frac{x}{360}\times\pi r^2$

c)

$\frac{x}{360}\times2\pi r$

d)

$\frac{part}{whole}\times Area$

91.

Area Formula: (a) Circumference Formula: (b) Equation of a circle: (c)

Choose from the below words

$\pi r^2$

$2\pi r$

$\left(x-h\right)^2+\left(y-k\right)^2=r^2$

$2\pi r^2$

$\left(x-k\right)^2+\left(y-h\right)^2=r$

$2\pi d$

92.

Find the circumference of the circle.

Round your answer to the nearest tenth.

a)

$53.6\ yd$

b)

$58.4\ yd$

c)

$54\ yd$

d)

$57.1\ yd$

93.

Find the circumference of the circle.

Round your answer to the nearest tenth.

a)

$8.9\ cm$

b)

$12.6\ cm$

c)

$25.3\ cm$

d)

$16.4\ cm$

94.

Find the area of the circle.

Round your answer to the nearest tenth.

a)

$158.3\ m^2$

b)

$191.1\ m^2$

c)

$153.9\ m^2$

d)

$22\ m^2$

95.

Find the area of the circle.

Round your answer to the nearest tenth.

a)

$36.3\ km^2$

b)

$10.1\ km^2$

c)

$32.2\ km^2$

d)

$40.7\ km^2$

96.

What is the circumference of a circle with a radius of 54 m?

a)

339.12 m

b)

169.56 m

c)

84.78 m

97.

What is the distance around a circle?

a)

Circumference

b)

Area

c)

Diameter

d)

Radius

98.

If my radius is 10ft, what is my diameter?

a)

20ft

b)

5ft

c)

31.4ft

d)

62.8ft

99.

MUST DO: What is the approximate area of the circle above?

a)

44 inches squared

b)

154 inches squared

c)

616 inches squared

100.

ENRICHMENT: A circle has a diameter of 4.5 cm. A larger circle has a diameter of 24 cm. What is the approximate difference in the circumferences of the two circles?

a)

19.5 cm

b)

28.5 cm

c)

61 cm

d)

90 cm

101.

A circular garden with a radius of 8 feet is surrounded by a circular path with a width of 3 feet.

What is the approximate area of the path alone? Use 3.14 for π.

a)

172.70 ft²

b)

178.98 ft²

c)

200.96 ft²

d)

379.94 ft²

102.

The diameter of Carol's old records from the 80s is 12 inches. Which equation would help you determine the area?

a)

A = 12π

b)

A = 2π12

c)

A = π(12²)

d)

A = π(6²)

103.

What is 5π/6 radians in degrees?

a)

180

b)

150

c)

360

d)

120

104.

What is 7π/4 radians in degrees?

a)

300

b)

135

c)

315

d)

45

105.

What is 4π/3 radians in degrees?

a)

120

b)

240

c)

210

d)

270

106.

What is 150 degrees in radians?

a)

5π/6

b)

7π/6

c)

5π/4

d)

π/6

107.

What is 3π/4 radians in degrees?

a)

315

b)

135

c)

150

d)

330

108.

What is 45 degrees in radians?

a)

π/2

b)

π/6

c)

π/4

d)

3π/4

109.

What is 90 degrees in radians?

a)

π/4

b)

π/2

c)

π/6

d)

3π/2

110.

What is 270 degrees in radians?

a)

π/4

b)

3π/2

c)

3π/4

d)

π/2

111.

What is 225 degrees in radians?

a)

7π/4

b)

5π/4

c)

3π/4

d)

5π/3

112.

Find arc length

a)

114π/5 ft

b)

2850 ft

c)

95π/6 ft

d)

150π/19 ft

113.

Find the arc length.

a)

3π/4 ft

b)

39π/4 ft

c)

13π/4 ft

d)

4π/13 ft

114.

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

a)

7/4π

b)

7/2π

c)

1/8π

d)

45π

115.

Find the arc length

a)

12π cm

b)

15π cm

c)

39.375 cm

d)

14π cm

116.

Find arc length

a)

114π/5 ft

b)

2850 ft

c)

95π/6 ft

d)

150π/19 ft

117.

Find the arc length indicated by the bolded arc.

a)

75.7 in

b)

84.2 in

c)

55.6 in

d)

22.3 in

118.

Match the following vocabulary related to the Unit Circle

a)

states that the square of the cosine of a given angle + the square of the sine of that angle = 1

1.

Pythagorean Identity

b)

measure of a central angle of a circle that intercepts an arc = in length to the r of that circle

2.

radian

c)

the ratio of the arc length formed by an angle divided by the r of that circle

3.

radian measure

d)

an angle whose terminal sides lies on an axis

4.

quadrantal angle

e)

the length of the curve formed by an arc

5.

arc length

119.

Find the area of the sector, rounding your answer to 1d.p.

a)

67.1cm²

b)

67.0cm²

c)

16.8cm²

d)

134.0cm²

120.

FIND THE SECTOR AREA OUTLINED IN BOLD

a)

A

b)

B

c)

C

d)

D

121.

FIND THE SECTOR AREA OUTLINED IN BOLD

a)

A

b)

B

c)

C

d)

D

122.

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.

123.

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

Circles Review

Total questions: 123

Worksheet time: 2hrs 3mins

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