Free Printable Geo Unit 10 Review

1.

What is the equation of a circle with radius 6 and center (-2, 7)?

a)

(x+2)² + (y-7)² = 6

b)

(x-2)² + (y+7)² = 6

c)

(x-2)² + (y+7)² = 36

d)

(x+2)² + (y-7)² = 36

2.

What are possible measurements for arc QP and RN?

a)

A

b)

B

c)

C

d)

D

3.

Which graph corresponds to

(x+2)²+ (y-3)²=36

a)

A

b)

B

c)

C

d)

D

4.

What is the equation of the circle?

a)

(x+1)² + (y +1)² = 3

b)

(x+1)² + (y -1)² = 3

c)

(x+1)² + (y +1)² = 9

d)

(x-1)² + (y -1)² = 9

5.

What is the arc length of AB?

a)

$15\pi$

b)

$\frac{15}{2}\pi$

c)

$\frac{25}{10}\pi$

d)

$\frac{75}{2}\pi$

6.

If the circumference of the circle is 52 what is the length of arc AC?

a)

26

b)

13

c)

17

d)

104

7.

$\overline{XT}\ and\ \overline{ZT}$ are secants to the circle. If XT = 19, what is ZY?

a)

14

b)

12.33

c)

16.17

d)

13

8.

Line segments AB and CB are tangent to the circle. If the radius of the circle is 15 in and DB = 39 in, what is the value of AB?

a)

32

b)

36

c)

42

d)

25

9.

In the circle below point G is the center. The length of arc EF is

\frac{1}{6}

of the circumference of the circle. What is the value of

\angle EGF

?

(a)

10.

Find x.

a)

58

b)

29

c)

118

d)

180

11.

Find x.

a)

50

b)

25

c)

155

d)

310

12.

solve for x.

hint* central angle = arc measure. diameter makes a semicircle = 180 degrees

a)

21.25

b)

13.6

c)

43.75

d)

10

13.

a)

110

b)

70

c)

55

d)

90

14.

a)

123

b)

61.5

c)

67

d)

56

15.

Find AB.

a)

21

b)

42

c)

18

d)

58

16.

a)

5

b)

25

c)

10

d)

17.69

17.

a)

12

b)

56

c)

112

d)

28

18.

a)

90

b)

82

c)

49

d)

98

19.

Find x.

a)

8.8

b)

13.75

c)

16.36

d)

14

20.

a)

136

b)

88

c)

44

d)

176

21.

a)

180

b)

198

c)

252

d)

360

22.

a)

180

b)

76

c)

104

d)

142

23.

a)

37

b)

35

c)

24

d)

21.9

24.

a)

3

b)

37

c)

56

d)

28

25.

a)

20

b)

11

c)

48

d)

4

26.

a)

144

b)

50

c)

172

d)

116

27.

a)

96

b)

48

c)

120

d)

336

28.

a)

72

b)

118

c)

59

d)

256

29.

a)

19

b)

141

c)

39

d)

67

30.

find the measure of angle a

a)

30

b)

21

c)

60

d)

120

31.

Find the measure of angle EFH.

a)

61

b)

65

c)

114

d)

130

32.

Two tangents of a circle that meet outside of the circle at one point are _________.

a)

congruent

b)

perpendicular

c)

the same

33.

Is line AB tangent to the circle?

a)

YES

b)

NO
NO

c)

Can't Tell
Can't Tell

34.

A segment whose endpoints lie on a circle is a _______.

a)

tangent

b)

chord

c)

diameter

d)

secant

35.

A line in the same plane as a circle that intersects the circle at exactly one point is a ____________.

a)

tangent

b)

secant

c)

chord

d)

radius

36.

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

a)

tangent

b)

secant

c)

diameter

d)

chord

37.

In a circle (or congruent circles), chords that are the same distance from the center:

a)

are similar

b)

have the same name

c)

are congruent to each other

d)

are walking dead

38.

A tangent is a line that touches a circle at just one point and forms a right angle with the circle's radius.

a)

True

b)

False

39.

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

40.

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

41.

What can you conclude?

a)

AB and AC are not congruent.

b)

AB= half of AC

c)

AC = half of AB

d)

AB=AC

42.

Is line AB tangent to the circle?

a)

YES

b)

NO
NO

c)

Not Enough Info

43.

What is the name of the angle pictured?

a)

Central angle

b)

Inscribed angle

c)

Interscribed angle

d)

Circumscribed angle

44.

Find the measure of angle ABD.

a)

14

b)

51

c)

37

d)

65

45.

An arc whose measure is between 180° and 360°

a)

Minor Arc

b)

Semicircle

c)

Major Arc

d)

Central Angle

46.

An angle whose vertex is at the center of the circle.

a)

Central Angle

b)

Inscribed Angle

c)

Radius

d)

Sector

47.

The arc across from the inscribed angle is always _______ the angle.

a)

half

b)

double

48.

True or False: To name a minor arc, you need at least three letters.

a)

True

b)

False

49.

What is the measure of ∠AOB?

a)

40°

b)

80°

c)

160°

d)

50°

50.

What is the measure of ∠ABC?

a)

82°

b)

41°

c)

164°

d)

64°

51.

What is the measure of arc CB?

a)

60°

b)

120°

c)

80°

d)

240°

52.

What is the measure of arc KG?

a)

139°

b)

115°

c)

143°

d)

135°

53.

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

54.

What is the area formula for a circle?

a)

A = πr²

b)

A = 2πr

c)

A = √π

55.

What is this the formula for?

a)

arc length

b)

area of a sector

c)

area of a segment

d)

arc measure

56.

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)

25.2 in²

b)

28.5 in²

c)

31.4 in²

d)

38.2 in²

57.

The distance along the edge of a circle between two points is the _________

a)

area of a sector

b)

arc length

c)

arc of a circle

d)

sector of a circle

58.

What is the area of the shaded SECTOR? Round to the nearest hundredth.

a)

9.42 u²

b)

113.10 u²

c)

284.3 u²

d)

452.39 u²

59.

A cathedral window is built in the shape of a semicircle. If the window is to contain three stained glass sections of EQUAL SIZE, what is the area of the YELLOW SECTOR?

a)

3.3 ft²

b)

4.5 ft²

c)

6.3 ft²

d)

7.1 ft²

60.

What is the radius of a circle with an area of 49π?

a)

49

b)

10

c)

7

d)

14

61.

What is the area of the shaded region? Leave your answer as an exact value.

a)

25π - 50

b)

25π - 100

c)

5π - 50

d)

5π - 100

62.

What is the area of the green shaded segment?

a)

16π - 64

b)

8π - 32

c)

8π - 64

d)

16π - 32

63.

What is the area of the shaded segment?

a)

185.0619

b)

88.9359

c)

39.3078

d)

5.7975

Geo Unit 10 Review

Total questions: 63

Worksheet time: 2hrs 0mins

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