Free Printable UNIT 9: CIRCLES REVIEW

1.

Which of the following names a radius?

a)

segment AC

b)

segment DB

c)

segment AB

d)

segement BC

2.

Which of the following names a diameter?

a)

segment AC

b)

segment DB

c)

segment AB

d)

segment BC

3.

What is circumference?

a)

The distance around a circle.

b)

The space inside the circle.

c)

A line from side to side passing through the center.

d)

A line from the center to the side.

4.

What is the area of a circle?

a)

The distance around a circle.

b)

The space inside the circle.

c)

A line from side to side passing through the center.

d)

A line from the center to the side.

5.

Which segment is the diameter?

a)

AC

b)

BD

c)

LM

d)

CE

6.

What is the diameter?

a)

8

b)

16

c)

10

d)

4

7.

Is the red line a radius or diameter of the circle?

a)

Radius

b)

Diameter

8.

Is the red line a radius or diameter of the circle?

a)

Radius

b)

Diameter

9.

What is the formula for circumference of a circle given the diameter?

a)

C = π r

b)

C = 2 π r

c)

C = π d

d)

C = 2 π d

10.

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

a)

A = π·d

b)

C = 2·π·r

c)

A = π·r²

d)

C = π·d

11.

If you are given the diameter, how can you calculate the radius?

a)

Multiply the diameter by 2

b)

Divide the diameter by 2

c)

Add 2 to the diameter

d)

Subtract 2 from the diameter

12.

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

a)

Diameter

b)

Radius

13.

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

a)

Diameter

b)

Radius

14.

A cruise ship has a large, circular window. It has a diameter of 6 meters. What is the window's approximate circumference?

a)

3 m

b)

9.42 m

c)

12 m

d)

18.84 m

15.

The radius is....

a)

a line that crosses through the center and touches each edge

b)

the center point of a circle

c)

a line from the center point to the edge of the circle

d)

an element in science

16.

What is the radius of this circle?

a)

12cm

b)

6cm

c)

24cm

d)

3cm

17.

A circle has a radius of 23 feet. What is the diameter of the circle?

a)

23 feet

b)

46 feet

c)

1/2 feet

d)

none of the above

18.

find the area of the circle with radius 3 cm below.

a)

100 cm²

b)

225 cm²

c)

9 cm²

d)

28.26 cm²

19.

What does r represent in the formula:

A = π·r²

a)

circumference

b)

radius

c)

diameter

d)

squared

20.

What number does π represent?

a)

4.13

b)

3.41

c)

pie

d)

3.14

21.

What is the symbol for pi?

a)

#

b)

π

c)

&

d)

%

22.

If the area of a circle is 25 π in² , then the diameter is?

a)

10 in

b)

5 in

c)

25 in

d)

pi in

23.

If the circumference of a circle is 22 π ft, what is the radius?

a)

22 ft

b)

11ft

c)

π ft

d)

no ft

24.

If the circumference of a circle is 22π , what is the diameter?

a)

22 ft

b)

11 ft

c)

π ft

d)

0 ft

25.

If the circumference of a circle is 44 π feet, what is the radius?

a)

22 ft

b)

44 ft

c)

33 feet

d)

3.14 feet

26.

The _____ is the distance from the center to any point on the circle.

a)

diameter

b)

radius

c)

π

d)

center

27.

The distance across a circle through its center is called the _____.

a)

diameter

b)

radius

c)

π

d)

center

28.

A _____ is half of a circle.

a)

circumference

b)

pi

c)

semicircle

d)

composite figure

29.

Which segment is the diameter?

a)

AC

b)

BD

c)

LM

d)

CE

30.

Which segment is a radius?

a)

LM

b)

DC

c)

BD

d)

ML

31.

If the area of circle is 100 π , find the radius of the circle.

a)

10 π

b)

10

c)

50

d)

50 π

32.

Equal _____ of the congruent circles subtend equal angles at the centers.

a)

Segments

b)

Radii

c)

Arcs

d)

Chords

33.

If chords AB and CD of congruent circles subtend equal angles at their centres, then:

a)

AB=CD

b)

AB > CD

c)

AB < AD

d)

None of above

34.

If there are two separate circles drawn apart from each other, then the maximum number of common points they have:

a)

0

b)

1

c)

2

d)

3

35.

The angle subtended by the diameter of a semi-circle is:

a)

90

b)

45

c)

180

d)

60

36.

If AB and CD are two chords of a circle intersecting at point E, as per the given figure. Then:

a)

∠BEQ > ∠CEQ

b)

∠BEQ = ∠CEQ

c)

∠BEQ < ∠CEQ

d)

None of the above

37.

In the below figure, the value of ∠ADC is:

a)

60⁰

b)

30⁰

c)

45⁰

d)

55⁰

38.

In the figure, O is the centre of the circle and PR = QR. What is the measure of ∠PQR?

a)

60⁰

b)

110⁰

c)

75⁰

d)

45⁰

39.

In the figure, O is the centre of the circle. What is the measure of ∠ACB?

a)

45⁰

b)

60⁰

c)

70⁰

d)

90⁰

40.

Segment of a circle is the region between an arc and ———- of the circle.

a)

Radius

b)

Chord

c)

Diameter

d)

sector

41.

The region between an arc and the two radii, joining the centre to the endpoints of the arc is called a ————–

a)

Sector

b)

Segment

c)

Arc

d)

Area

42.

The sum of either pair of opposite angles of a cyclic quadrilateral is ——–

a)

90⁰

b)

180⁰

c)

360⁰

d)

60⁰

43.

If the angles subtended by two chords of a circle or of congruent circles at the centre are equal, the chords are ——–

a)

equal

b)

unequal

c)

different

d)

none of above

44.

In the figure, if O is the centre of a circle, then the measure of ∠ACB is:

a)

80⁰

b)

100⁰

c)

40⁰

d)

60⁰

45.

A point, whose distance from the centre of a circle is greater than its radius lies ———- of the circle.

a)

on circle

b)

in exterior

c)

on interior

d)

none of above

46.

The length of the complete circle is called its

a)

Radius

b)

diameter

c)

circumference

d)

area

47.

How do you know this is a diameter?

a)

It connects the center to a point on the outside of the circle.

b)

It connects two points on the outside of the circle and travels through the center.

c)

It connects two points on the outside of a circle.

d)

It illustrates the outside (perimeter) of the circle.

48.

How do you know this is a chord?

a)

It connects the center to a point on the outside of the circle.

b)

It connects two points on the outside of the circle and travels through the center.

c)

It connects two points on the outside of a circle.

d)

It illustrates the outside (perimeter) of the circle.

49.

How do you know this is a radius?

a)

It connects the center to a point on the outside of the circle.

b)

It connects two points on the outside of the circle and travels through the center.

c)

It connects two points on the outside of a circle.

d)

It illustrates the outside (perimeter) of the circle.

50.

How do you know this is a circumference?

a)

It connects the center to a point on the outside of the circle.

b)

It connects two points on the outside of the circle and travels through the center.

c)

It connects two points on the outside of a circle.

d)

It traces the outside (perimeter) of the circle.

51.

How do you know this is a chord?

a)

It connects the center to a point on the outside of the circle.

b)

It connects two points on the outside of the circle and travels through the center.

c)

It connects two points on the outside of a circle.

d)

It traces the outside (perimeter) of the circle.

52.

True or false: A diameter is a chord.

a)

True

b)

False

53.

True or false: A diameter is half of a radius.

a)

True

b)

False

54.

True or false: The circumference is about 3 times the diameter.

a)

True

b)

False

55.

True or false: A chord is always a diameter.

a)

True

b)

False

56.

True or false: The diameter is 2 times the radius.

a)

True

b)

False

57.

A circle has a number of tangents equal to

a)

0

b)

1

c)

2

d)

Infinite

58.

A tangent intersects the circle at:

a)

One point

b)

Two distinct point

c)

Never intersects

d)

None of the above

59.

A circle can have (a) parallel tangents at a single time.

60.

If the angle between two radii of a circle is 130º, then the angle between the tangents at the ends of the radii is:

a)

70º

b)

60º

c)

50º

d)

40º

61.

The length of the tangent from an external point A on a circle with centre O is

a)

always greater than OA

b)

always less than OA

c)

equal to OA

d)

Cannot be estimated

62.

If a parallelogram circumscribes a circle, then it is a:

a)

Square

b)

Rectangle

c)

Rhombus

d)

None of the above

63.

The length of a tangent from a point A at a distance 13 cm from the centre of the circle is 5 cm. The radius of the circle is:

a)

5 cm

b)

7 cm

c)

10 cm

d)

12 cm

64.

In the following figure, PA and PB are tangents from a point P to a circle with centre O. Then the quadrilateral OAPB must be a___________.

a)

Square

b)

Rhombus

c)

Parallelogram

d)

Cyclic Quadrilateral

65.

The length of tangents drawn from an external point to the circle

a)

are equal

b)

are not equal

c)

sometimes are equal

d)

are not defined

66.

The tangents drawn at the end points of the diameter of a circle are

a)

perpendicular

b)

parallel

c)

equal

d)

none of these

67.

The common point of the tangent and the circle is called the__________

a)

point of intersection

b)

point of contact

c)

point of view

d)

Point of observation

68.

Number of tangents to a circle which are parallel to a given secant is/are____________.

a)

1

b)

2

c)

3

d)

Infinite

69.

The distance between two parallel tangents of a circle of radius 5 cm is ________________.

a)

5 cm

b)

10 cm

c)

15 cm

d)

20 cm

70.

Which one of the following is incorrect?

a)

The tangents drawn at the end points of a chord are parallel.

b)

The lengths of tangents drawn from an external point to a circle are equal.

c)

The tangent at any point of a circle is perpendicular to the radius through the point of contact.

d)

If a chord AB subtends an angle of 70° at the centre of a circle, then angle between the tangents at A and B is also 70°

71.

There is no tangent to a circle passing through a point lying ___________ the circle.

a)

Outside

b)

Inside

c)

On the boundary

d)

None of these

72.

From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the centre is 25 cm. The radius of the circle is__________.

a)

7 cm

b)

12 cm

c)

15 cm

d)

24.5 cm

73.

The distance all the way around the circle is called the...

a)

radius

b)

diameter

c)

circumference

d)

area

74.

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

a)

radius

b)

diameter

c)

circumference

d)

area

75.

Shring'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

76.

PI equals

a)

22/7

b)

3.14...

c)

both

d)

neither

77.

Which is the correct way to solve this?

a)

x=(360-110)/2

b)

x=110/2

c)

x=(250-110)/2

d)

x=(250+110)/2

78.

Which is the correct way to solve this?

a)

70=(180+x)/2

b)

70=(180-x)/2

c)

x=(180+70)/2

d)

x=(180-70)/2

79.

Which is the correct way to solve this?

a)

x=(142-72)/2

b)

x=(142+72)/2

c)

72=(142-x)/2

d)

72=(142+x)/2

80.

Which is the correct way to solve this?

a)

x=(62-50)/2

b)

x=(62+50)/2

c)

50=(62+x)/2

d)

62=(50+x)/2

81.

Which is the correct way to solve this?

a)

210=x/2

b)

x=210/2

c)

x=150/2

d)

150=x/2

82.

Which is the correct way to solve this?

a)

x=284/2

b)

284=x/2

c)

x=76/2

d)

76=x/2

83.

Which is the correct way to solve this?

a)

8x=12

b)

12x=8

c)

8(x+8)=12

d)

8(x+8)=12(12)

84.

Which is the correct way to solve this?

a)

x(x+14)=12(33)

b)

14x=12(21)

c)

12x=14(21)

d)

21x=(12)(14)

85.

Which is the correct way to solve this?

a)

7x=6(8)

b)

7(x+7)=6(14)

c)

6x=7(8)

d)

7(14)=6(6+x)

86.

Which is the correct way to solve this?

a)

3x+13=-3+5x

b)

3x+13+19.3=-3+5x

c)

(3x+13)(-3+5x)=19.3

d)

3x+13+-3+5x=19.3

87.

Find the value of the angle marked x....

a)

88

b)

75

c)

92

d)

102

88.

Find the value of the angle marked x....

a)

90

b)

43

c)

47

d)

53

89.

Find the value of the angle marked x....

a)

102

b)

51

c)

129

d)

78

90.

Find the value of the angle marked x....

a)

56

b)

90

c)

34

d)

44

91.

Find the value of the angle marked x....

a)

61

b)

63

c)

117

d)

119

92.

Find the value of the angle marked x....

a)

90

b)

45

c)

50

d)

100

93.

Find the value of the angle marked x....

a)

88

b)

44

c)

92

d)

46

94.

Find the value of the angle marked x....

a)

35

b)

70

c)

55

d)

110

95.

Find the value of the angle marked x....

a)

32

b)

64

c)

16

d)

58

96.

Find the value of the angle marked x....

a)

41

b)

82

c)

164

d)

98

97.

Find the value of the angle marked x....

a)

19

b)

38

c)

76

d)

52

98.

Find the value of the angle marked x....

a)

76

b)

38

c)

152

d)

14

99.

Find the value of the angle marked x....

a)

72

b)

144

c)

36

d)

90

100.

Find the value of the angle marked x....

a)

65

b)

130

c)

90

d)

25

101.

Find the value of the angle marked x....

a)

100

b)

80

c)

109

d)

71

102.

Find the value of the angle marked x....

a)

50

b)

100

c)

80

d)

90

103.

Find the value of the angle marked x....

a)

78

b)

88

c)

102

d)

92

104.

Find the value of the angle marked x....

a)

106

b)

76

c)

74

d)

30

105.

Find the value of the angle marked x....

a)

63

b)

126

c)

54

d)

90

106.

Find the value of the angle marked x....

a)

125

b)

70

c)

110

d)

55

107.

What is the value of x and y?

a)

x=75°; y=93°

b)

x=65°;y=104°

c)

x=75°; y=94°

d)

x=65°; y=93

108.

What is the size of angle x?

a)

19^o

b)

76^o

c)

39^o

d)

38^o

109.

find the measure of angle a

a)

30

b)

21

c)

60

d)

120

110.

find the measure of y

a)

30

b)

60

c)

90

d)

180

111.

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

112.

what are the values of c and d?

a)

c = 218, d = 71

b)

d = 109, c = 71

c)

c = 142, d = 218

d)

c = 142, d = 109

113.

find m.

a)

41

b)

109

c)

68

114.

what is the measure of angle c

a)

21

b)

63

c)

117

d)

10

115.

If a is 60⁰, what is 2a ?

a)

30⁰

b)

120⁰

c)

90⁰

116.

What is the size of the relex angle COA?

a)

62

b)

128

c)

232

d)

90

117.

What is the size of the angle at DBC?

a)

85

b)

117

c)

32

d)

63

118.

What are the sizes of a and b?

a)

a = 57, b = 114

b)

a = 57, b = 57

c)

a = 114, b = 57

d)

a = 57, b = 28.5

119.

Find the value of the angle marked x....

a)

63

b)

126

c)

54

d)

90

120.

Two tangents CD and CB intersect circle A. Find the length of the tangent segment BC.

a)

2

b)

3

c)

9

d)

14

121.

In the diagram, the diameter of the circle is perpendicular to the chord. Solve for the value of "x"

a)

26

b)

24

c)

30

d)

20

122.

Line JK represents:

a)

Chord

b)

Tangent

c)

Diameter

d)

Radius

123.

Line ABC represents:

a)

Chord

b)

Tangent

c)

Radius

d)

Diameter

124.

Line FG represents

a)

Tangent

b)

Radius

c)

Chord

d)

Diameter

125.

What is the value of x and y?

a)

x=75°; y=93°

b)

x=65°;y=104°

c)

x=75°; y=94°

d)

x=65°; y=93

126.

What is the measure of angle c and d?

a)

c = 21, d = 50

b)

c = 63, d = 78

c)

c = 78, d = 63

d)

c = 10, d = 50

127.

What is the value of x?

a)

x = 160º

b)

x = 40º

c)

x = 80º

d)

x = 26.7º

128.

What can you conclude from the picture?

a)

m is parallel to circle C

b)

m is skew to circle C

c)

m bisects circle C

d)

m is tangent to circle C

129.

What best describes segment AB?

a)

chord

b)

secant

c)

tangent

d)

diameter

130.

Find the red minor arc and its measure. Then find the blue major arc and its measure.

a)

AB, 135; ADB, 225

b)

ADB, 225; AB, 135

131.

What is the measure of the angle "?"

a)

70º

b)

90º

c)

105º

d)

210º

132.

What is the value of y?

a)

248

b)

112

c)

68

d)

78

133.

Find the measure of arc BC

a)

24^o

b)

156^o

c)

56^o

d)

180^o

134.

Find the measure of arc BDC

a)

204^o

b)

156^o

c)

256^o

d)

^336o

135.

What is the measure of arc AB

a)

30^o

b)

80^o

c)

120^o

d)

60^o

136.

What is the measure of arc CAB

a)

195^o

b)

150^o

c)

210^o

d)

110^o

137.

What is the m∠ADB?

a)

16^o

b)

32^o

c)

64^o

d)

14^o

138.

What is the m∠ACB?

a)

52^o

b)

26^o

c)

104^o

d)

114^o

139.

What is the m∠ACB?

a)

52^o

b)

24^o

c)

48^o

d)

96^o

140.

What is the m∠ACB?

a)

52^o

b)

18^o

c)

36^o

d)

9^o

141.

What is the measure of arc CE?

a)

52^o

b)

11.5^o

c)

23^o

d)

46^o

142.

Solve for x

a)

9

b)

7

c)

6

d)

8

143.

Solve for x

a)

23^o

b)

76^o

c)

81^o

d)

38^o

144.

Solve for x

a)

90

b)

14.5

c)

19.5

d)

25.5

145.

Solve for x

a)

6

b)

7

c)

8

d)

9

146.

Solve for x

a)

68^o

b)

80^o

c)

112^o

d)

100^o

147.

a)

116^o

b)

58^o

c)

124^o

d)

114^o

148.

Find the measure of angle EFH.

a)

61

b)

65

c)

114

d)

130

149.

Find the measure of angle ABD.

a)

14

b)

51

c)

37

d)

65

150.

Solve for x.

a)

29

b)

33

c)

41.5

d)

50

151.

Find the measure of the arc or central angle indicated.

a)

54°

b)

82°

c)

144°

d)

70°

152.

Find the measure of the arc or central angle indicated.

a)

130°

b)

47°

c)

40°

d)

92°

153.

Find the measure of the arc or angle indicated.

a)

39°

b)

32°

c)

48°

d)

34°

154.

Find the m<WUX.

a)

130°

b)

47°

c)

40°

d)

92°

155.

Find the measure of the arc GH.

a)

54°

b)

82°

c)

144°

d)

70°

156.

Find the m<MLN.

a)

39°

b)

32°

c)

48°

d)

34°

157.

Find the m<CED.

a)

36°

b)

46°

c)

55°

d)

70°

158.

Find the m<SQR.

a)

42°

b)

56°

c)

40°

d)

48°

159.

What are the values of x and y?

a)

x=75°; y=93°

b)

x=65°;y=104°

c)

x=75°; y=94°

d)

x=65°; y=93

160.

What is the value of x?

a)

92

b)

25

c)

12.5

d)

105

161.

What is the measure of arc AB?

a)

44

b)

22

c)

88

d)

55

162.

Triangle ABC is inscribed in circle O. Line AB is a diameter, and the measure of angle ABC is 55°. What is the measure of angle BAC?

a)

90^o

b)

35^o

c)

45^o

d)

55^o

163.

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

a)

20

b)

15

c)

10

d)

5

164.

Find a.

a)

30

b)

21

c)

60

d)

120

165.

Find x.

a)

38

b)

21

c)

27

d)

96

166.

Determine y.

a)

30

b)

60

c)

90

d)

180

167.

Determine x.

a)

32

b)

16

c)

64

d)

21

168.

What is d?

a)

78

b)

102

c)

117

d)

21

169.

Calculate q.

a)

40

b)

140

c)

128

d)

52

170.

Find m<A.

a)

63

b)

21

c)

44

d)

85

171.

A line that intersects a circle at two points is a ______________.

a)

tangent

b)

secant

c)

diameter

d)

chord

172.

Which circle theorem rule is used to find angle x?

a)

The angle at the circumference in a semicircle is 90°

b)

Inscribed angles that intersect the same arc are congruent.

c)

A tangent meets a radius at 90°

d)

The central angle is twice the inscribed angle of the same arc.

173.

Find the value of the angle marked x....

a)

40

b)

45

c)

50

d)

60

174.

Find the value of the angle marked x....

a)

50

b)

100

c)

80

d)

45

175.

What is the value of the missing angle "?"

a)

62º

b)

56º

c)

50º

d)

46º

176.

Which is the correct way to solve this?

a)

x = 70º/2

b)

x = 180º/2

c)

x=(180º+70º)/2

d)

x=(180º-70º)/2

177.

a)

A

b)

B

c)

C

d)

D

178.

a)

A

b)

B

c)

C

d)

D

179.

Solve for x

a)

14

b)

12

c)

19

d)

17

180.

Find the length of BC.

a)

2

b)

3

c)

9

d)

14

181.

Find the measure of ∠ABD

a)

129⁰

b)

51⁰

c)

100⁰

d)

65⁰

182.

What is the measure of angle 1?

a)

130°

b)

65°

c)

44°

d)

86°

183.

In the circle, find the measure of angle CAB.

a)

A

b)

B

c)

C

d)

D

184.

In the diagram, two chords intersect, forming a vertex in the interior of the circle. Solve for x.

a)

45°

b)

50°

c)

65°

d)

60°

185.

a)

A

b)

B

c)

C

d)

D

186.

What is the value of x?

a)

x = 160

b)

x = 40

c)

x = 80

d)

x = 360

187.

a)

A

b)

B

c)

C

d)

D

188.

a)

A

b)

B

c)

C

d)

D

189.

a)

A

b)

B

c)

C

d)

D

190.

An angle in a circle with vertex on the circle itself

a)

Angle

b)

Central angle

c)

Inscribed angle

d)

Chord

191.

An angle in a circle with vertex on the center of the circle

a)

Central angle

b)

Angle

c)

Inscribed angle

d)

Circle

192.

What is correct value for x?

a)

125^o

b)

155^o

c)

80^o

d)

360^o

193.

Solve for x.

a)

5

b)

20

c)

40

d)

85

194.

a)

A

b)

B

c)

C

d)

D

195.

a)

A

b)

B

c)

C

d)

D

196.

a)

A

b)

B

c)

C

d)

D

197.

Which number best represents an inscribed angle?

a)

1

b)

2

c)

8

d)

9

198.

Determine the measure of Arc BA.

a)

A

b)

B

c)

C

d)

D

199.

What is m∠ACB?

a)

67.5°

b)

90°

c)

22.5°

d)

45°

200.

Find a and b.

a)

a=74 degrees
b=93 degrees

b)

a=93 degrees
b=74 degrees

c)

a=87 degrees
b=106 degrees

d)

a=106 degrees
b=87 degrees

201.

What is the value of x?

a)

18

b)

8

c)

10

d)

30

202.

Find the length of BC.

a)

2

b)

3

c)

9

d)

14

203.

TS is tangent to circle P. What is x?

a)

11.2

b)

18.0

c)

25.0

d)

30.0

204.

What is the value of x?

a)

19^o

b)

76^o

c)

39^o

d)

38^o

205.

Find the value of x.

a)

90

b)

43

c)

47

d)

53

206.

In the diagram, the diameter of the circle is perpendicular to the chord. Solve for x.

a)

26

b)

24

c)

30

d)

20

207.

Line AB is a tangent to the circle. Find the value of each variable.

a)

x = 34°

y = 11°

z = 15°

b)

x = 65°

y = 69°

z = 46°

c)

x = 46°

y = 69°

z = 65°

208.

What is m∠ACB?

a)

67.5°

b)

90°

c)

22.5°

d)

45°

209.

The angle in a semi-circle is (a)

210.

The angle at the centre (y) is _______ the angle (x) at the circumference.

a)

twice

b)

half

c)

equal to

d)

90 degrees

211.

The angle between a radius and a tangent is _____________

a)

180 degrees

b)

90 degrees

c)

Twice the angle at the centre

d)

obtuse

212.

The tangents to a circle from the same point will be

a)

equal length

b)

parallel

c)

perpendicular

d)

different lengths

213.

The angles in the same segment from a common chord are:

a)

equal

b)

30 degrees

c)

add up to 90 degrees

214.

The opposite angles in a cyclic quadrilateral

a)

are equal

b)

add up to 180 degrees

c)

add up to 360 degrees

d)

are 90 degrees

215.

Which other angle in the diagram is 75 degrees?

a)

A

b)

B

c)

C

d)

D

216.

The radius through the midpoint of a chord bisects it at

a)

180 degrees

b)

a third

c)

90 degrees

d)

twice the angle at the circumference.

217.

Find the circumference of the given circle. Round to the nearest tenth.

a)

62.8 mi

b)

66.6 mi

c)

125.6 mi

d)

67.2 mi

218.

Find the area of the given circle. Round to the nearest tenth.

a)

254.5 in²

b)

63.6 in²

c)

307.9 in²

d)

1018 in²

219.

Find the length of the given arc. Round your answer to the nearest tenth.

a)

44.5 in

b)

529.6 in

c)

209.4 in

d)

21.2 in

220.

Find the area of each sector. Round your answer to the nearest tenth.

a)

10602.9 in²

b)

57.6 in²

c)

3817035.1 in²

d)

29.5 in²

221.

Find the measure of the arc or angle indicated.

a)

36°

b)

46°

c)

55°

d)

70°

222.

Find the measure of the arc or angle indicated.

a)

42°

b)

56°

c)

40°

d)

48°

223.

a)

95

b)

77

c)

98

d)

70

224.

a)

17

b)

15

c)

16

d)

12

225.

a)

93

b)

123

c)

155

d)

110

226.

a)

75

b)

74

c)

39

d)

69

227.

a)

95

b)

104

c)

125

d)

141

228.

a)

50

b)

35

c)

55

d)

40

229.

a)

10

b)

5

c)

7

d)

8

230.

a)

129

b)

142

c)

140

d)

145

231.

a)

49

b)

88

c)

81

d)

74

232.

a)

95

b)

121

c)

130

d)

115

233.

a)

200

b)

277

c)

215

d)

284

234.

a)

129

b)

81

c)

80

d)

74

235.

a)

15

b)

12

c)

16

d)

19

236.

a)

13

b)

10

c)

11

d)

12

237.

a)

87

b)

78

c)

194

d)

129

238.

a)

196

b)

207

c)

181

d)

189

239.

What is 5π/6 radians in degrees?

a)

180

b)

150

c)

360

d)

120

240.

What is 7π/4 radians in degrees?

a)

300

b)

135

c)

315

d)

45

241.

What is 225 degrees in radians?

a)

7π/4

b)

5π/4

c)

3π/4

d)

5π/3

242.

What is π/3 radians in degrees?

a)

30

b)

60

c)

360

d)

90

243.

How many radians does a circle have?

a)

360 degrees

b)

2pi radians

c)

pi radians

d)

^{2 radians}

244.

What is π radians to degrees.

a)

90⁰

b)

180⁰

c)

360⁰

d)

60⁰

245.

What is 4π/3 radians in degrees?

a)

120

b)

240

c)

210

d)

270

246.

What is 2π/3 radians in degrees?

a)

150

b)

120

c)

180

d)

30

247.

What is 11π/6 radians in degrees?

a)

30

b)

330

c)

360

d)

300

248.

What is 0 degrees in radians?

a)

2π

b)

0

c)

π

d)

π/2

249.

What is 360 degrees in radians?

a)

2π/3

b)

5π/4

c)

2π

d)

π

250.

What is 45 degrees in radians?

a)

π/2

b)

π/6

c)

π/4

d)

3π/4

251.

Convert π radians to degrees.

a)

90⁰

b)

180⁰

c)

360⁰

d)

60⁰

252.

Convert 150⁰ to radians

a)

5π/6

b)

3π/4

c)

7π/6

d)

2π/3

253.

Convert 100⁰ to radians

a)

5π/9

b)

π/2

c)

5π/8

d)

5π/6

254.

What is 7π/4 radians in degrees?

a)

300

b)

135

c)

315

d)

45

255.

What is 225 degrees in radians?

a)

7π/4

b)

5π/4

c)

3π/4

d)

5π/3

256.

Convert the following to radians:
720⁰

a)

3π

b)

4π

c)

5π

257.

Convert the following to degrees:
-8π/5 radians

a)

-288⁰

b)

-260⁰

c)

-275⁰

258.

What is 360 degrees in radians?

a)

2π/3

b)

5π/4

c)

2π

d)

π

259.

What is the area of the circle?

a)

15.7 cm²

b)

78.5 cm²

c)

31.4 cm²

d)

5 cm²

260.

What is the circumference of the circle?

a)

25.12 in.

b)

12.56 in.

c)

50.24 in.

261.

Sally tried to solve for the area of circle. Her work is shown. What mistake did Sally make.

a)

Sally squared π incorrectly.

b)

Sally multiplied the π and radius incorrectly.

c)

Sally used diameter instead of the radius.

d)

No mistake. Sally solved the problem correctly.

262.

What is the circumference of this circle ?

a)

3.14 cm

b)

37.68 cm

c)

24 cm

d)

68.4 cm

263.

Find the area of the circle below.

a)

100 cm²

b)

225 cm²

c)

9 cm²

d)

28.26 cm²

264.

Find the area of the circle

a)

56.52 in²

b)

254.34 in²

c)

1017.36 in²

d)

113.04 in²

265.

Find the circumference (to the nearest whole number)

a)

88 in

b)

44 in

c)

116 square in

d)

None of the above

266.

What is the area of the yellow?

a)

78.5 mi²

b)

19.625 mi²

c)

39.25 mi²

d)

31.4 mi²

267.

A circle has an area of $100\pi$ . Which of the following is that circle?

a)

b)

c)

d)

e)

268.

What is the formula for sector area?

a)

$SA=\frac{\angle\cdot\pi r^2}{360}$

b)

$SA=\frac{\pi r^2}{360}$

c)

$SA=\angle\cdot\pi r^2$

d)

$SA=\pi r^2$

269.

What is the sector area?

a)

$12\pi$

b)

$13.5\pi$

c)

$18\pi$

d)

$48\pi$

e)

$53.3\pi$

270.

What is the sector area?

a)

$12\pi$

b)

$13.5\pi$

c)

$18\pi$

d)

$48\pi$

e)

$53.3\pi$

271.

What is the sector area?

a)

$12\pi$

b)

$13.5\pi$

c)

$18\pi$

d)

$48\pi$

e)

$53.3\pi$

272.

What is the sector area?

a)

$12\pi$

b)

$13.5\pi$

c)

$18\pi$

d)

$48\pi$

e)

$53.3\pi$

UNIT 9: CIRCLES REVIEW

Total questions: 272

Worksheet time: 10hrs 15mins