Free Printable HGEO Ch. 10 Circles

1.

A ____ angle is an angle whose vertex is a the center of a circle.

a)

supplementary

b)

complimentary

c)

central

d)

obtuse

2.

A ____ angle is an angle whose vertex is a the center of a circle.

a)

supplementary

b)

complimentary

c)

central

d)

obtuse

3.

A area between/bounded by two radii of the circle and the arc where the radii meet the circle.

a)

triangle

b)

arc length of a circle

c)

sector of a circle

d)

segment of a circle

4.

If Pacman's mouth is open to 70° and the radius of his mouth is 8mm, what is CENTRAL ANGLE MEASURE of his Body?

a)

290^o

b)

270^o

c)

180^o

d)

110^o

5.

How many total degrees make a circle?

a)

$360\degree$

b)

$180\degree$

c)

$90\degree$

d)

$45\degree$

6.

Which of the following represents a central angle?

a)

b)

c)

7.

What is does x equal?

a)

$160\degree$

b)

$80\degree$

c)

$40\degree$

d)

$360\degree$

8.

What is the measure of

\angle QSP

?

a)

$80\degree$

b)

$100\degree$

c)

$140\degree$

d)

$220\degree$

9.

What is the measure of

\angle UWT

?

a)

$210\degree$

b)

$150\degree$

c)

$130\degree$

d)

$80\degree$

10.

Find the measure of the indicated angle.

a)

$35\degree$

b)

$85\degree$

c)

$120\degree$

d)

$155\degree$

11.

Is the arc measure (in degrees) of XY equal to the arc measure (in degrees) of ZW?

a)

Yes

b)

No

12.

Is this an inscribed angle?

a)

Yes

b)

No

13.

Is this an inscribed angle?

a)

Yes

b)

No

14.

Is this an inscribed angle?

a)

Yes

b)

No

15.

Is this an inscribed angle?

a)

Yes

b)

No

16.

Find the measure of the ?

a)

40˚

b)

110˚

c)

122˚

d)

84˚

17.

Find the measure of the ?

a)

48˚

b)

110˚

c)

122˚

d)

84˚

18.

Find the measure of the ?

a)

98˚

b)

140˚

c)

122˚

d)

100˚

19.

Find the measure of the ?

a)

75˚

b)

190˚

c)

95˚

d)

150˚

20.

Find the measure of arc AB.

a)

17 degrees

b)

34 degrees

c)

68 degrees

d)

146 degrees

21.

inscribed angle: an angle with its vertex _____________ the circle

a)

at the center of

b)

on

22.

Solve for x

a)

51 degrees

b)

61 degrees

c)

102 degrees

d)

204 degrees

23.

What is x?

a)

15

b)

23

c)

2

d)

92

24.

Angle Inside Circle

a)

A

b)

B

c)

C

d)

D

25.

To find an angle inside the circle you use which of the following.

a)

(1/2)arc

b)

(1/2)(arc+arc)

c)

(1/2)(arc - arc)

d)

I don't know

26.

a)

A

b)

B

c)

C

d)

D

27.

What is the measure of angle HKI?

a)

72

b)

73

c)

74

d)

75

28.

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

a)

45°

b)

50°

c)

65°

d)

60°

29.

Find the m∠MNQ.

a)

89⁰

b)

45⁰

c)

158⁰

d)

22⁰

30.

Find the m∠1.

a)

130⁰

b)

65⁰

c)

44⁰

d)

86⁰

31.

Find the measure of minor arc AV.

a)

55°

b)

115°

c)

85°

d)

95°

32.

What is the measure of arc GF?

a)

168

b)

169

c)

167

d)

165

33.

What is the measure of arc AD?

a)

137

b)

136

c)

135

d)

134

34.

Find the m∠ABD.

a)

14

b)

51

c)

37

d)

65

35.

Find m∠UST.

a)

119°

b)

163°

c)

44°

d)

61°

36.

Solve for x. Just type in the numeric value.

(a)

37.

Solve for x.

a)

34

b)

17

c)

23

d)

27

38.

Find the measure of minor arc SN (where the question mark is). Type in the numeric value.

(a)

39.

Find the measure of $\angle KML$ .

a)

$m\angle KML=10\degree$

b)

$m\angle KML=75\degree$

c)

$m\angle KML=42.5\degree$

d)

$m\angle KML=47.5\degree$

40.

Find $m\angle EDF$ . Type in the numeric value.

(a)

41.

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.

42.

A chord is a segment that connects ___________

a)

the center to the endpoint

b)

to one point outside the circle

c)

a central angle

d)

2 endpoints of a circle

43.

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.

44.

Find the measure of arc KM.

a)

29º

b)

33º

c)

41.5º

d)

50º

45.

Find the measure of minor arc SL.

a)

A. 105º

b)

B. 175º

c)

C. 145º

d)

D. 150º

46.

Find the measure of arc QS.

a)

A. 39º

b)

B. 71º

c)

C. 70º

d)

D. 51º

47.

What is the measure of arc GF?

a)

168º

b)

336º

c)

24º

d)

192º

48.

Find the measure of minor arc AC.

a)

76°

b)

135.5°

c)

70.5°

d)

65°

49.

Which is the correct equation to find the measure of angle KLM?

a)

x = 1/2(140 - 66)

b)

x = 1/2(140+66)

c)

66 = 1/2(140 - x)

d)

66 = 1/2(140 + x)

50.

What is the measure of angle KLM?

a)

74º

b)

103º

c)

8º

d)

37º

51.

The equation of a circle is: $\left(x-3\right)^2+\left(y-2\right)^2=16$

a)

The radius is 32 units.

b)

The radius is 16 units.

c)

The radius is 8 units.

d)

The radius is 4 units.

52.

What is the center of the circle: $\left(x+5\right)^2+\left(y-3\right)^2=9$

a)

$\left(5,\ 3\right)$

b)

$\left(5,\ -3\right)$

c)

$\left(-5,\ 3\right)$

d)

$\left(-5,\ -3\right)$

53.

What is the equation of the circle?

a)

$\left(x+1\right)^2+\left(y+1\right)^2=4$

b)

$x^2+y^2=4$

c)

$\left(x+4\right)^2+\left(y+4\right)^2=16$

d)

$x^2+y^2=16$

54.

What is the equation of the circle?

a)

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

b)

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

c)

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

d)

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

55.

Select the graph of the circle: $\left(x-3\right)^2+y^2=4$

a)

b)

c)

d)

56.

Solve for x.

a)

18

b)

8

c)

10

d)

30

57.

Solve for x.

a)

6

b)

8

c)

10

d)

12

58.

Solve for x.

a)

48

b)

7

c)

8

d)

16

59.

Solve for x.

a)

5

b)

8.66

c)

10

d)

20

60.

Solve for d.

a)

8

b)

9

c)

10

d)

12

61.

Solve for x.

a)

7

b)

8

c)

10/3

d)

2

62.

Solve for x.

a)

11.67

b)

9.33

c)

11

d)

28

63.

Solve for x.

a)

6

b)

7.94

c)

8

d)

9

64.

Solve for x.

a)

10

b)

5

c)

2

d)

12.5

65.

Solve for x.

a)

5

b)

12

c)

24

d)

10

66.

Solve for x.

a)

1

b)

112

c)

16

d)

4

67.

Find CE.

a)

12

b)

16

c)

18

d)

None of these

68.

Solve for x.

a)

9

b)

1

c)

27

d)

None of these

69.

Solve for x.

a)

15

b)

20

c)

14/3

d)

3/14

70.

Find BC.

a)

2

b)

3

c)

9

d)

14

71.

Solve for x.

a)

4

b)

8

c)

5

d)

10

72.

Solve for x.

a)

7

b)

8

c)

6

d)

1

73.

Solve for x to the nearest degree.

a)

36⁰

b)

43⁰

c)

44⁰

d)

47⁰

74.

Solve for x.

a)

12.8

b)

7.1

c)

15.1

d)

2.3

75.

Find OA.

a)

15

b)

6

c)

-24

d)

14

76.

Solve for x and y.

a)

x=4, y=5

b)

x=3, y=7

c)

x=7, y=3

d)

x=6, y=9

77.

Solve for x.

a)

8

b)

10

c)

4

d)

2

78.

Solve for x.

a)

31,3

b)

8

c)

16.3

d)

-8

79.

Find AB.

a)

4

b)

5

c)

10

d)

19

80.

Solve for x.

a)

x = 3 cm

b)

x = 4 cm

c)

x = 5 cm

d)

x = 6 cm

81.

Solve for x.

a)

x = 8

b)

x = 12

c)

x = 5

d)

x = 4

82.

Solve for x.

a)

x = 21

b)

x = 22

c)

x = 4

d)

x = 42

83.

Solve for x.

a)

x = 12

b)

x = 24

c)

x = 2

d)

x = 53

84.

Sove for x.

a)

x = 15

b)

x = 12

c)

x = 2

d)

x = 20

85.

Solve for x.

a)

x = 17

b)

x = 15

c)

x = 23

d)

x = 11

86.

Find the length of DB

a)

21

b)

22

c)

6

d)

15

87.

Find the length of EC

a)

24

b)

9

c)

15

d)

13

88.

Solve for x.

a)

x = 32

b)

x = 23

c)

x = 30

d)

x = 18

89.

Solve for x.

a)

x = 15

b)

x = 3

c)

x = 16

d)

x = 2/3

90.

Solve fro x.

a)

x = 7

b)

x = 12

c)

x = 8

d)

x = 13

91.

Solve for x.

a)

x = 9

b)

x = 0

c)

x = 10

d)

x = 6

92.

Solve for x.

a)

x = 6

b)

x = 23

c)

x = 22

d)

x = 0

93.

Solve for x.

a)

x = 5

b)

x = 7

c)

x = 3

d)

x = 9

HGEO Ch. 10 Circles

Total questions: 93

Worksheet time: 5hrs 46mins

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