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Worksheets

Final Review

Total questions: 206

Worksheet time: 17hrs 22mins

Name
Class
Date
1.

What is the image of point B (4, 9) after a dilation with a scale factor of 2?

a)

B' (2 , 4.5)

b)

B' (-8 , -18)

c)

B' (8 , 18)

d)

B' (9 , 4)

2.

What is the image of point A (3, 6) after a dilation with a scale factor of 5?

a)

(3, 6)

b)

(12, 6)

c)

(15, 30)

d)

(0.6, 1.2)

3.

What is the image of point G (-10,-6) after a dilation with a scale factor of 1/2 ?

a)

G' (5, 3)

b)

G' (20,12)

c)

G' (-20, -12)

d)

G' (-5, -3)

4.

What is the image of point B (-3, 0) after a dilation with a scale factor of 3?

a)

B' (-9, 0)

b)

B' (-1, 0)

c)

B' (3, 0)

d)

B' (0, 1)

5.

What is the image of point G (8, -4) after a dilation with a scale factor of 1/4.

a)

G' (32, -16)

b)

G' (2, -1)

c)

G' (-2, -1)

d)

G' (16, 32)

6.

Dilate point C by a scale factor of 1/2.

a)

(-1, -2.5)

b)

(12, 6)

c)

(3, -1.5)

d)

(0, 1.5)

7.

Dilate point C by a scale factor of 4.

a)

(1.5, -0.75)

b)

(0, 12)

c)

(-8, -20)

d)

(24, -12)

8.

Dilate point B by a scale factor of 1/3.

a)

(0, 1)

b)

(-1, 0)

c)

(2, -1)

d)

(0, 9)

9.

Dilate Point B by a scale factor of 3.

a)

(12,0)

b)

(12,12)

c)

(4,3)

d)

(0,12)

10.

Dilate Point B by a scale factor of 1/2.

a)

(1.5,-4)

b)

(-1.5,1)

c)

(-1,-1.5)

d)

(-2,-2)

11.

Find the scale factor for the dilation.

a)

2

b)

3

c)

1/3

d)

1/2

12.

Find the scale factor for the dilation.

a)

2

b)

-2

c)

1/2

d)

1

13.

Find the scale factor for the dilation.

a)

3

b)

1/3

c)

1/2

d)

2

14.

Find the scale factor for the dilation.

a)

2

b)

1/2

c)

3/2

d)

2/3

15.

Find the scale factor for the dilation.

a)

1

b)

7

c)

18

d)

49

16.

Find the scale factor for the dilation.

a)

2.5

b)

1.5

c)

3.5

d)

4

17.

The point A (8, 12) was dilated to become point A' (2, 3). What was the scale factor?

a)

½

b)

¼

c)

4

d)

2

18.

The point B (2, 1) was dilated to become point B' (6, 3). What was the scale factor?

a)

1/3

b)

2

c)

3

d)

1/2

19.

Does this dilation show a reduction or an enlargement?

a)

reduction

b)

enlargement

20.

Does the dilation show an enlargement or a reduction?

a)

reduction

b)

enlargement

21.
a)
∠J≅∠R, ∠K≅∠S, ∠L≅∠T
b)
∠J≅∠T, ∠K≅∠S, ∠L≅∠R
22.
a)
JL/RT=JK/TS=KL/SR
b)
JK/RS=KL/ST=JL/RT
c)
KL/ST=JL/RT=KJ/TS
23.
a)
∠T≅∠O, ∠U≅∠N, ∠V≅∠M
b)
∠T≅∠M, ∠U≅∠N, ∠V≅∠O
24.
a)
TU/MN=UV/NO=TV/MO
b)
UV/NO=VT/MN=UT/MO
c)
TU/ON=UV/NM=TV/OM
25.
a)
∠W≅∠E, ∠X≅∠D, ∠Z≅∠F, ∠Y≅∠G
b)
∠W≅∠G, ∠X≅∠F, ∠Z≅∠D ∠Y≅∠E
c)
∠W≅∠D, ∠X≅∠E, ∠Z≅∠G, ∠Y≅∠F
d)
∠W≅∠F, ∠X≅∠D, ∠Z≅∠G, ∠Y≅∠E
26.
a)
WZ/DG=XY/EF=YZ/GF=ZW/DG
b)
XY/EF=YZ/DE=ZW/DF=WX/GE
c)
WX/DE=XY/EF=YZ/FG=WZ/DG
27.
a)
No
b)
Yes; ∎ABCD∼∎EFGH
28.
a)
No
b)
Yes; ΔLMN∼ΔTPO
c)
Yes; ΔLMN∼ΔOPT
29.
a)
13.5, 16
b)
18, 16
c)
24, 9
30.
a)
4, 24
b)
9, 12
c)
6, 8
31.
a)
4
b)
5/4
c)
12.8
d)
1.44
32.
a)
1.44
b)
4
c)
4/5
d)
12.8
33.
a)
4
b)
1.44
c)
12.8
d)
5/4
34.
a)
125 degrees
b)
55 degrees
c)
180 degrees
d)
360 degrees
35.
a)
16
b)
12.8
c)
7.68
36.
a)
25/12
b)
12/25
c)
5/4
d)
4/5
37.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SSS

c)

SAS

d)

Not similar

38.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

SAS

b)

AA

c)

SSS

d)

not similar

39.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SSS

c)

SAS

d)

no similar

40.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

SSS

b)

AA

c)

SAS

d)

not similar

41.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

SSS

b)

AA

c)

SAS

d)

not similar

42.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SSS

c)

SAS

d)

NOT SIMILAR

43.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

44.
What similarity theorem would prove that these triangles are similar?
a)
SAS∼
b)
SSS∼
c)
AA∼
d)
Side Splitter
45.
Are the triangles similar?
a)
Yes
b)
No
46.
Find missing side
a)
5
b)
7
c)
9
d)
11
47.
If two figures are similar their angles are______.
a)
proportional
b)
congruent
c)
supplementary
d)
complementary
48.
If two figures are similar, the corresponding sides are ______________.
a)
equal
b)
congruent
c)
proportional
d)
none of these
49.
What is the measure of x?
a)
12
b)
15
c)
6
d)
9
50.
Complete each proportion.
AB / BM  =  ? / CD
a)
BC
b)
AC
c)
MD
d)
MC
51.
Which of the following is NOT true about similar figures?
a)
A) Similar figures always have the same shape.
b)
B) Similar figures always have the same size.
c)
C) Similar figures always have corresponding angles that are equal.
d)
D) Similar figures always have corresponding sides that are proportional.
52.

Determine if the triangles are similar and if they are, what postulate proves them to be similar.

a)

AA∼AA\sim

b)

SAS∼SAS\sim

c)

SSS∼SSS\sim

d)

Not Similar

53.

Determine if the triangles are similar and if they are, what postulate proves them to be similar.

a)

AA∼AA\sim

b)

SAS∼SAS\sim

c)

SSS∼SSS\sim

d)

Not Similar

54.

Determine if the triangles are similar and if they are, what postulate proves them to be similar.

a)

AA∼AA\sim

b)

SAS∼SAS\sim

c)

SSS∼SSS\sim

d)

Not Similar

55.

Determine if the triangles are similar and if they are, what postulate proves them to be similar.

a)

AA∼AA\sim

b)

SAS∼SAS\sim

c)

SSS∼SSS\sim

d)

Not Similar

56.

I am allowed to use SSS or SAS without checking the ratios/proportions of the sides.

a)

True

b)

False

57.

Level 1

The Pythagorean Theorem works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

e)

all triangles

58.

Level 1

If a right triangle has side lengths 6, 7 and 3, which side is the hypotenuse?

a)

6

b)

7

c)

3

d)

49

e)

9

59.

Level 2

Solve for the value of y

a)

13

b)

5

c)

23

d)

10

60.

Level 3

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

61.

Level 4

Solve for x.

a)

38.9

b)

40.2

c)

45.6

d)

54

62.
What is the final step in solving this work for c?
a2 + b2 = c2
32 + 42 = c2
9 + 16 = c2
25 = c2
a)
Divide both sides by 2
b)
Take the square root of both sides
63.

The Pythagorean Theorem is

a2 - b2 = c2

a)

false

b)

true

64.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
65.
Would a triangle with these side lengths be a right triangle?
4, 5, 6
a)
Yes
b)
No
66.

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

67.

Sides a and b are called legs.

a)

true

b)

false

68.

Does the set of numbers represent a right triangle?

20, 25, 15

a)

Yes

b)

No

69.
Find the distance between these two points.
a)
13
b)
7.9
c)
9.2
d)
3.6
70.
Find the distance between the 2 points. Round to the nearest hundredth.
a)
3 
b)
2.23
c)
2.24
d)
2.2
71.

Find the distance between the points.

a)

3

b)

4

c)

5

d)

6

72.

Determine the length of the line between C(-5,6) and D(-2, 1)

a)

74\sqrt{74}

b)

8.6

c)

33\sqrt{33}

d)

5.8

73.
a = 2.1, b = 7.2,
c = 7.5
Is this a right triangle?
a)
yes 
b)
no
74.
Do these 3 side lengths form a right triangle?
13, 80, and 81?
a)
yes
b)
no
75.
If a = 9 and b = 7, what is c?
a)
130
b)
12.4
c)
11.4
d)
11
76.
What is the opposite of squaring a number?
a)
divide
b)
multiply 
c)
fractions
d)
square root
77.

Find the value of x

a)

37.742

b)

10.598

c)

23.584

d)

12.497

78.
a)

29.237

b)

14.184

c)

11.082

d)

14.063

79.

Find the value of x, round to the nearest thousandth.

(a)  

80.

What side is OPPOSITE of angle C?

a)

7

b)

25

c)

24

81.

What side is ADJACENT to angle C?

a)

7

b)

25

c)

24

82.

What is the hypotenuse?

(a)  

83.

Find the measure of the indicated angle.  

a)

6∘6^{\circ}

b)

20∘20^{\circ}

c)

43∘43^{\circ}

d)

47∘47^{\circ}

84.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
85.

Find the measure of angle A.

a)

24°24\degree  

b)

90°90\degree  

c)

66°66\degree  

d)

42°42\degree  

86.
Solve for the missing angle
a)
50.2
b)
93.1
c)
12.6
d)
42.2
87.
Find the measure of the missing angle.
a)
90o
b)

10o

c)
130o
d)
50o
88.

tan (40) = ____

a)

reciprocal of tan (40)

b)

sin (40)

c)

cos (50)

d)

reciprocal of tan (50)

89.
Find the measure of the missing angle.
a)
90o
b)

19o

c)

141o

d)

51o

90.

sin (39) = ____ (51)

a)

reciprocal of sin

b)

tan

c)

sin

d)

cos

91.
Find the measure of the missing angle.
a)
90o
b)

36o

c)

117o

d)

27o

92.

cos (63) = ____ (27)

a)

reciprocal of cos

b)

tan

c)

cos

d)

sin

93.
Find the measure of the missing angle.
a)
90o
b)

14o

c)

128o

d)

38o

94.

sin (52) =

a)

reciprocal of tan (38)

b)

reciprocal of cos (52)

c)

cos (52)

d)

cos (38)

95.
Find the measure of the missing angle.
a)
90o
b)

10o

c)

130o

d)

50o

96.

tan (40) = reciprocal of tan (____)

a)
90o
b)

10o

c)

130o

d)

50o

97.
Find the measure of the missing angle.
a)
90o
b)

20o

c)

125o

d)

55o

98.

cos (35) = sin (____)

a)
90o
b)

20o

c)

125o

d)

55o

99.
Find the measure of the missing angle.
a)
90o
b)

8o

c)

108o

d)

18o

100.

sin (72) = cos (____)

a)
90o
b)

8o

c)

108o

d)

18o

101.
Find the measure of the missing angle.
a)
90o
b)

20o

c)

125o

d)

35o

102.

tan (55) = reciprocal of tan (____)

a)
90o
b)

20o

c)

125o

d)

35o

103.
Find the measure of the missing angle.
a)
90o
b)

10o

c)

130o

d)

40o

104.

cos (50) = sin (____)

a)
90o
b)

10o

c)

130o

d)

40o

105.
Find the measure of the missing angle.
a)
90o
b)

20o

c)

125o

d)

55o

106.

sin (35) = cos (____)

a)
90o
b)

20o

c)

125o

d)

55o

107.

To the nearest whole degree.

a)

66°

b)

24°

c)

22°

d)

37°

108.

Round your answer to the nearest tenth.

a)

36.9°

b)

31.0°

c)

59.0°

d)

53.1°

109.

Solve the triangle. Round al answers to the nearest tenth.

a)

A

b)

B

c)

C

d)

D

110.

Solve the triangle. Round al answers to the nearest tenth.

a)

A

b)

B

c)

C

d)

D

111.
A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree.  The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse? 
a)
7.5 ft 
b)
15 ft 
c)
26 ft 
d)
30 ft 
112.
Susan is flying a kite, which gets caught in the top of a tree.  Use the diagram to estimate the height of the tree. 
a)
63.6 ft
b)
1.59 ft
c)
74.2 ft
d)
86.9 ft
113.
Find the height of the tree. Assume the angle looking up to the tree is 38o.
a)
12.5 ft
b)
11.9 ft
c)
6.88 ft
d)
17.5 ft
114.
A building 62 feet tall casts a shadow 21 meters long.  At what angle is the sun shining on the building?
a)
19.80
b)
18.71
c)
70.20
d)
71.29
115.
Solve the right triangle.
a)
<B = 39o, AB = 11.58, AC = 7.29
b)
<B = 39o, AB = 7.29, AC = 11.58
c)
<B = 129o, AB = 11.58, AC = 7.29
d)
<B = 129o, AB = 7.29, AC = 11.58
116.

A plane flying at 2000 ft altitude begins a 25 degree angle of descent to land. What is the distance along the ground the plane will travel before it lands?

a)

4289 ft

b)

932.6 ft

c)

845.2 ft

d)

4732.4 ft

117.
Jake built a skateboard ramp that covers a horizontal distance of 10 ft.  The ramp rises a total of 3.5 ft.  What angle does the ramp make with the ground? Round to the nearest degree.
a)
19 degrees
b)
20 degrees
c)
28 degrees
d)
35 degrees
118.
From a point 340 meters from the base of the Hoover Dam, the angle of elevation to the top of the dam is 33°. Find the height of the dam to the nearest meter. 
a)
185.18 meters
b)
523.55 meters
c)
220.80 meters
d)
624.27 meters
119.
Spencer is going snowboarding.  He rode the ski lift to the top of the mountain, which is at an altitude of 1500 feet.  The angle of elevation from the bottom to the top of the mountain is 25o.  What is the length of the Spencer’s run (his trip down the hill)? 
a)
3216.76 feet
b)
633.93 feet
c)
699.46 feet
d)
3549.30
120.
A 4 ft tall child creates a shadow that is 7.5 ft long. What is the angle of elevation of the sun? 
a)
62 degrees
b)
49 degrees
c)
28 degrees
d)
15 degrees
121.
You are standing 10 feet away from a tree. There is a cat up in the tree. Your eyes make a 48 degree angle to look up at the cat. How high is the cat? 
a)
11.1 ft. 
b)
9 ft. 
c)
7.4 ft. 
d)
13.8 ft. 
122.

Find the indicated measure. Enter your answer as a number.

(a)  

123.

Find the indicated measure. Enter your answer as a number.

(a)  

124.

Find the value of x. Enter your answer as a number only.

(a)  

125.

Find the value of x. Enter your answer as a number only.

(a)  

126.

Find the indicated measure, enter you answer as a number only.

(a)  

127.

Find the indicated measure. Enter your answer as a number only.

(a)  

128.

Find the indicated measure. Enter your answer as a number only.

(a)  

129.

Find the indicated measure. Enter your answer as a number only.

(a)  

130.

Find the indicated measure. Enter your answer as a number only.

(a)  

131.

Find the indicated measure. Enter your answer as a number only.

(a)  

132.
inscribed angle: an angle with its vertex _____________ the circle
a)
at the center of
b)
on
133.
a)
A
b)
B
c)
C
d)
D
134.
Solve for x. 
a)
5
b)
20
c)
40
d)
85
135.
a)
A
b)
B
c)
C
d)
D
136.
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.
137.

∠J=\angle J=  

a)

88°88\degree  

b)

45°45\degree  

c)

135°135\degree  

d)

108°108\degree  

138.
The intercepted arc of an inscribed angle  is ___________________ the measure of the inscribed angle.
a)
congruent to
b)
half
c)
double
d)
supplementary to 
139.
Find the measure of <E.
a)
7
b)
8
c)
44
140.

Solve for x.

(a)  

141.

What is the measure of the intercepted arc?

(a)  

142.

Find the arc indicated.

a)

185

b)

75

c)

110

d)

100

143.

Find the angle indicated.

a)

180

b)

55

c)

80

d)

40

144.

Find the angle indicated.

a)

52

b)

103

c)

63

d)

117

145.

Find the angle indicated.

a)

145

b)

140

c)

75

d)

70

146.

Find the arc indicated.

a)

147

b)

41

c)

277

d)

65

147.

Find the angle indicated.

a)

128

b)

52

c)

76

d)

58

148.

Find the angle indicated.

a)

53

b)

65

c)

62

d)

3

149.

Find the angle indicated.

a)

70

b)

50

c)

60

d)

55

150.

Find the angle indicated.

a)

105

b)

255

c)

360

d)

75

151.

Find the arc indicated.

a)

78

b)

51

c)

-78

d)

102

152.

Find the arc indicated.

a)

110

b)

-12

c)

105

d)

234

153.

Find the arc indicated.

a)

112

b)

143

c)

53

d)

127

154.

Find the arc indicated.

a)

55

b)

175

c)

115

d)

285

155.

Find the angle indicated.

a)

123

b)

56

c)

324

d)

95

156.
In the equation (x-3)2+(y-2)2=16, the center of the circle is...
a)
(3,2)
b)
(-3, -2)
c)
(-2, -3)
d)
(2, 3)
157.
In the equation (x+2)2+(y-3)2=4, the radius of the circle is...
a)
4
b)
2
c)
3
d)
16
158.
In the equation (x-3)2+(y-2)2=16, the radius of the circle is...
a)
16
b)
32
c)
3
d)
4
159.
In the equation (x-3)2+(y+4)2=121, the radius of the circle is
a)
242
b)
11
c)
121
d)
22
160.

Write the equation of a circle with center (7, 0) with radius 3.

a)

(x - 7)2 + y2 = 9

b)

x2 + (y -7)2 = 9

c)

(x - 7)2 + y2 = 3

d)

x2 + (y -7)2 = 3

161.

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

162.

What is the center of the circle with this equation is (x+2)²+(y-4)²=41?

a)

(-2,41)

b)

(-2,4)

c)

(2,-4)

d)

(2,41)

163.

What is the equation for this circle?

a)

(x+1)2+(y+1)2=9

b)

x2+y2=9

c)

x2+y2=6

d)

x2+y2=3

164.

What is the radius of the circle with this equation of (x-5)²+(y+7)²=8?

a)

4

b)

8

c)

4√2

d)

2√2

165.

The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.

a)

(x - 2)2 + (y + 5)2 = 36

b)

(x - 5)2 + (y + 2)2 = 6

c)

(x + 5)2 + (y - 2)2 = 36

d)

(x + 2)2 + (y - 5)2 = 6

166.

Find the center of the circle if the endpoints of a diameter of the circle are at (-12, -7) and (3, 5)

a)

(-9/2, -1)

b)

(-15/2, -6)

c)

(9/2, 1)

d)

(15/2, 6)

167.

What is the standard equation of a circle?

a)

(x-k)2 + (y-h)2 = r2

b)

(x+h)2 + (y+k)2 = r2

c)

(x-h)2 + (y-k)2 = r2

d)

(k-x)2 + (h-y)2 = r2

168.

What does (h,k) standard for in the standard circle equation?

a)

(h,k) is the center of the circle

b)

(h,k) is a point on the circle.

c)

(h,k) is the radius of the circle

d)

(h,k) is the diameter of the circle

169.

In the circle represented by the equation (x-4)2+(y-3)2=25, the diameter is

a)

10

b)

3

c)

5

d)

25

170.
What is the center of the circle with equation x2 + y2 = 1?
a)
(1, 1)
b)
(0, 0)
c)
not enough information
171.

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

172.

A circle has the equation x2 + y2 - 12x + 8y + 3 = 0. Write the equation in standard form.

a)

(x - 6)2 + (y + 4)2 = 49

b)

(x + 4)2 + (y - 6)2 = 49

c)

(x - 6)2 + (y + 4)2 = 55

d)

x2 + y2 = 55

173.

The equation of a circle is x2 + y2 + 6x - 12y + 20 = 0. Write the equation in standard form.

a)

(x - 3)2 + (y + 6)2 = 25

b)

(x + 3)2 + (y - 6)2 = 25

c)

(x - 3)2 + (y + 6)2 = 45

d)

(x + 3)2 + (y - 6)2 = 5

174.

A circle has the equation x2 + y2 + 10x - 4y + 20 = 0. Write it in standard form.

a)

(x - 5)2 + (y + 2)2 = 9

b)

(x + 5)2 + (y - 2)2 = 3

c)

(x + 5)2 + (y - 2)2 = 9

d)

(x - 5)2 + (y + 2)2 = 3

175.
Determine the center and radius:
x2 + y2 - 10x + 8y -8 = 0
a)
C = (5,-4) r = 7
b)
C = (-5,4) r = 7
c)
C = (-4,5) r = 49
d)
C = (5,-4) r = 49
176.
What is this formula used to find?
V=πr2h
a)
The volume of a cylinder
b)
The volume of a cone
c)
The volume of a sphere
d)
The area of a circle
177.
A silo in the shape of a cylinder is partially filled with corn to feed cows. The corn fills 50% of the height of the silo. What is the approximate volume of the part of the silo that is filled with corn if the silo is 12 feet in diameter and 60 feet high?
a)
27,143.36 ft3
b)
3391.2 ft3
c)
13,571.68 ft3
d)
6,785.84 ft3
178.

Find the volume of the cylinder?

a)
6516 units3
b)
2276 units3
c)
1693 units3
d)
9923 units3
179.
Choir is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches. 

Which equation can be used to find the volume of the container?
a)
V = π(9)
b)
V = π(4.5)2(32)
c)
V = π(9)2(32)
d)
V = π(4.5)(32)
180.
Jason is drinking a soda from a can that has a radius of 5 in and a height of 43 in. How much soda is in the can? Leave the answer in terms of π.
a)
1075π
b)
268.75π
c)
430π
d)
806.25π
181.

What is the formula for Volume of a Cone?

a)

V=π r3h

b)

V=π r2h

c)

V= 13\frac{1}{3} π r2r^2 h

d)

V= 43\frac{4}{3} π r3r^3

182.

Find the volume of the cone. Round your answers to the nearest tenth. Use 3.14 for π.

a)

320.4 in3

b)

314 in3

c)

205.5 in3

d)

267.4 in3

183.

Calculate the amount of ice cream this cone can hold (just to the top of the cone). Round to the nearest hundredth.


***Remember to take half of the diameter to get the radius.***

a)

58.29 cm2

b)

58.29 cm3

c)

233.15 cm2

d)

233.15 cm³

184.

Vtotal=Vcone+VcylinderV_{total}=V_{cone}+V_{cylinder}  V = ?


Vtotal=πr2h3+πr2hV_{total}=\frac{\pi r^2h}{3}+\pi r^2h  Remember there are 2 different heights.

a)

1,356 m3

b)

1,734 m3

c)

377 m3

d)

590 m3

185.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
186.

Which object is shaped like a cylinder?

a)
b)
187.
The formula for the Volume of ...
a)
Spheres
b)
Cones
c)
Cylinders
188.
You have a globe that has a radius of 11 inches. Find the volume of your globe. 
a)
523 in3
b)
16,717 in3
c)
5,575 in3
d)
7,235 in3
189.
Jack wants to know how much water a sphere can hold with a radius of 8 cm. Find the volume. Use 3.14 for pi.
a)
83.6 cm³
b)
2144.7 cm³
c)
254 cm³
d)
2220 cm³
190.

Find the volume of the sphere. Round your answers to the nearest tenth if necessary. Use 3.14 for π.

a)

1,562.7 cubic in.

b)

1,325.5 cubic in.

c)

1,129.9 cubic in.

d)

1,819.6 cubic in.

191.

Find the length of the bolded arc. Use 3.14 for π\pi  and round to the nearest hundredth.


(a)  

192.

What is the circumference of an 18-inch (diameter) round pizza? Use 3.14 for π\pi  and round to the nearest hundredth.


(a)  

193.

A slice of an 18-inch (diameter) pizza is cut at a 68° angle. How long is the outer edge of the crust, to the nearest tenth of an inch?

(a)  

194.

Which slice of pizza shown would have the longest crust? You must show your work on your paper for full credit!

a)

The crust lengths are equal.

b)

The crust for Pizza A is longer.

c)

The crust for Pizza B is longer.

195.
a)

A

b)

B

c)

C

d)

D

196.

Find the length of the radius given the arc length of arc AB shown. Use 3.14 for π\pi  . Round your answer to the nearest tenth of a centimeter.


(a)  

197.

In your own words, explain the difference between the an arc's measure and an arc's length.

4 lines
198.

Find the length of arc AC. Use 3.14 for π\pi  and round to the nearest hundredth.


(a)  

199.

Find the area of the sector, rounding your answer to one decimal place.

a)

67.1cm2

b)

67.0cm2

c)

16.8cm2

d)

134.0cm2

200.

Find the area of the sector, rounding your answer to one decimal place.

a)

15.4m2

b)

15.3m2

c)

15.5m2

d)

15.6cm2

201.

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

202.

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)

290o

b)

270o

c)

180o

d)

110o

203.

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

204.

What is the area of the shaded sector? Round your answer to the nearest hundredth.

a)

13.96

b)

139.56

c)

27.91

d)

558.22

205.

A circular table top has an area of 324 square inches. Which measurement is closest to the radius of the table top in inches?

a)

10.2 in.

b)

18.0 in.

c)

56.5 in.

d)

103.1 in.

206.

Find the area of the shaded sector. Use 3.14 for pi. Round to the nearest tenth.

a)

7.9 units 2

b)

24.7 units2

c)

10.6 units2

d)

98.9 units2