Evolution of Labor Management Should we have ONE BIG UNION? Would one union benefit workers in all industries? Labor-Management Relationships Define and discuss the open shop movement. Include a specific example and analyze its success or failure, and why. Write a 2-3 page paper using APA format.         Analytic Geometry A Accelerated Week 4   Page 39 of 53    Analytic Geometry A – Accelerated Week 4  Lesson 3.1  Special Lines and Segments with Circles  Lesson 3.2  Central Angles and Arc Measures  Lesson 3.3  Angles with a Vertex on the Circle and Arc Measures  Lesson 3.4  Other Angle Relationships with Circles  Lesson 3.5  Arcs and Chords  Lesson 3.6  Inscribed and Circumscribed Polygons  Lesson 3.7  Theorems of Inscribed Triangles and Quadrilaterals  Lesson 3.8  Circumference of a Circle  Lesson 3.9  Length of an Arc  Lesson 3.10 Area of a Circle  Lesson 3.11 Area of a Sector    Before working the problems, study the lesson listed above each problem set.  Record the answers on the answer sheet. Turn in the answer sheet to be  graded.     For some problem sets, answer boxes are given. Choices may be used more than  once if necessary.    Lesson 3.1  Special Lines and Segments with Circles  Given the diagram, match the notation for the term that best describes it.  1. F    2.    3.      4.    5.      6. G  7.      8.    9. D    10.    Choices for 1‐10:  A) Chord  B) Tangent  C) Radius  D) Secant  E) Center  AB) Point of tangency  AC) Diameter          Analytic Geometry A Accelerated Week 4   Page 40 of 53    Draw the common tangents for the pairs of circles. Indicate how many common tangents  there are for each pair.  11.        12.                13.      14.   is a radius of ⊙C and   is tangent to ⊙C. Find the value of x.  15.              16.    K and M are points of tangency. Find the value of x.  17.              18.  Choices for 11‐14:  A) 0  B) 1  C) 2  D) 3  E) 4  AB) 5  AC) 6  Choices for 15‐16:  A) 16  B) 24  C) 28  D) 32  E) 36  AB) 40  AC) 42  AD) 48   AE) 56   BC) 64   Choices for 17‐18:  A) 1  B) 2  C) 3  D) 4  E) 5  AB) 6  AC) 7  AD) 8   AE) 9   BC) 10           Analytic Geometry A Accelerated Week 4   Page 41 of 53    Lesson 3.2  Central Angles and Arc Measures   is a diameter in ⊙E. Identify the given arc as a major arc, minor arc, or semicircle.    A) Major arc    B) Minor Arc    C) Semicircle  19.     20.     21.    22.    23.     24.     25.    26.      and   are diameters of ⊙U. Find the measure of the indicated arc.  27.      28.  29.      30.  31.      32.  33.      34.  35.      36.  Lesson 3.3  Angles with a Vertex on the Circle and Arc Measures  Find the indicated measure.  37.          38.          39.  Choices for 27‐36:  A) 42°  B) 64°  C) 74°  D) 84°  E) 106°  AB) 116°  AC) 138°  AD) 180°   AE) 222°  BC) 244°  BD) 254°  BE) 264°  CD) 276°  CE) 286°  DE) 296°  ABC) 318°  Choices for 37‐39:  A) 16°  B) 18.5°  C) 2 ...

1. Evolution of Labor Management
Should we have ONE BIG UNION? Would one union benefit
workers in all industries?
Labor-Management Relationships
Define and discuss the open shop movement. Include a specific
example and analyze its success or failure, and why. Write a 2-3
page paper using APA format.
Analytic Geometry A Accelerated Week 4 Page 39 of 53
Analytic Geometry A – Accelerated Week 4
Lesson 3.1 Special Lines and Segments with Circles
Lesson 3.2 Central Angles and Arc Measures
Lesson 3.3
Angles with a Vertex on the Circle and Arc Measures
Lesson 3.4 Other Angle Relationships with Circles
Lesson 3.5 Arcs and Chords
Lesson 3.6 Inscribed and Circumscribed Polygons

2. Lesson 3.7 Theorems of Inscribed Triangles and Quadrilaterals
Lesson 3.8 Circumference of a Circle
Lesson 3.9 Length of an Arc
Lesson 3.10 Area of a Circle
Lesson 3.11 Area of a Sector
Before working the problems, study the lesson listed above each
problem set.
Record the answers on the answer sheet. Turn in the answer she
et to be
graded.
For some problem sets, answer boxes are given. Choices may be
used more than
once if necessary.
Lesson 3.1 Special Lines and Segments with Circles
Given the diagram, match the notation for the term that best des
cribes it.
1. F 2.
3. 4.
5. 6. G
7. 8.
9. D 10.

3. Choices for 1‐10:
A) Chord
B) Tangent
C) Radius
D) Secant
E) Center
AB) Point of tangency
AC) Diameter
Analytic Geometry A Accelerated Week 4 Page 40 of 53
Draw the common tangents for the pairs of circles. Indicate how
many common tangents
there are for each pair.
11. 12. 13. 14.
is a radius of ⊙C and is tangent to ⊙C. Find the value of x.

4. 15. 16.
K and M are points of tangency. Find the value of x.
17. 18.
Choices for 11‐14:
A) 0 B) 1 C) 2 D) 3 E) 4 AB) 5 AC) 6
Choices for 15‐16:
A) 16 B) 24 C) 28 D) 32 E) 36 AB) 40 AC) 42 AD) 48
AE) 56 BC) 64
Choices for 17‐18:
A) 1 B) 2 C) 3 D) 4 E) 5 AB) 6 AC) 7 AD) 8 AE) 9
BC) 10

5. Analytic Geometry A Accelerated Week 4 Page 41 of 53
Lesson 3.2 Central Angles and Arc Measures
is a diameter in ⊙E. Identify the given arc as a major arc, mino
r arc, or semicircle.
A) Major arc B) Minor Arc C) Semicircle
19. 20. 21. 22.
23. 24. 25. 26.
and
are diameters of ⊙U. Find the measure of the indicated arc.
27. 28.
29. 30.
31. 32.
33. 34.
35. 36.
Lesson 3.3
Angles with a Vertex on the Circle and Arc Measures
Find the indicated measure.

6. 37. 38. 39.
Choices for 27‐36:
A) 42° B) 64° C) 74° D) 84° E) 106° AB) 116° AC) 138°
AD) 180°
AE) 222° BC) 244° BD) 254° BE) 264° CD) 276° CE) 286°
DE) 296° ABC) 318°
Choices for 37‐39:
A) 16° B) 18.5° C) 20° D) 32° E) 37° AB) 40° AC) 54°
AD) 58°
AE) 64° BC) 74° BD) 80° BE) 119° CD) 122° CE) 126°
DE) 149.5° ABC) 153°
Analytic Geometry A Accelerated Week 4 Page 42 of 53
40. 41.

7. 42. 43.
44. 45.
46. 47.
Find the indicated measure.
48. ∠ 1 51. m(arc 1)
49. m(arc 2) 52. m(arc 2)
50. ∠ 3 53. ∠ 3
Choices for 40‐47:
A) 29° B) 42° C) 45° D) 48° E) 52° AB) 56° AC) 58°
AD) 64° AE) 84° BC) 90° BD) 96° BE) 106° CD) 116°
CE) 180°

8. 3
3 2
Choices for 48‐53:
A) 82° B) 86° C) 90° D) 92° E) 94° AB) 96° AC) 98°
AD) 164° AE) 168° BC) 172° BD) 180° BE) 188° CD) 192°
CE) 196°
Analytic Geometry A Accelerated Week 4 Page 43 of 53
Lesson 3.4 Other Angle Relationships with Circles
Find ∠ .
54. 55. 56.
57. 58.

9. Find the value of x.
59. 60. 61.
Choices for 59‐61:
A) 7 B) 10 C) 12 D) 16 E) 18 AB) 24 AC) 26
AD) 32 AE) 58 BC) 61 BD) 63 BE) 67 CD) 70 CE) 76
Choices for 54‐58:
A) 22° B) 24° C) 26° D) 35° E) 37°
AB) 41° AC) 42° AD) 59.5° AE) 63° BC) 69°
BD) 72° BE) 94° CD) 109° CE) 112° ABC) 117°
ABD) 121.5° ABE) 128° BCD) 133° BCE) 142° CDE) 218°

10. Analytic Geometry A Accelerated Week 4 Page 44 of 53
Lesson 3.5 Arcs and Chords
Use the figure and to complete the statement.
62. ≅ _______ 63. ≅ ______ 64. ≅ _______
65. ≅ _______
66. ≅ _______
Find the measure of the indicated arc or chord.
67. 68. 69.
70. 71. 72.

11. E
F
Choices for 62‐66:
A) B) C) D)
E) AB) AC) AD)
AE) BC) BD) BE)
Choices for 67‐72: (Answers are in degrees when necessary.)
A) 7 B) 11 C) 22 D) 40 E) 45 AB) 50
AC) 58 AD) 64 AE) 65 BC) 80 BD) 90 BE) 104
CD) 115 CE) 116 DE) 122 ABC) 130 ABD) 140 ABE) 180
Analytic Geometry A Accelerated Week 4 Page 45 of 53
73. 74. 75.
76. 77.

12. Find the value of x.
78. 79. 80.
Choices for 73‐77:
A) 38° B) 48° C) 50° D) 57° E) 60° AB) 64°
AC) 65° AD) 66° AE) 70° BC) 74° BD) 85° BE) 90°
CD) 100° CE) 105° DE) 106° ABC) 112.5° ABD) 120°
ABE) 135°
Choices for 78‐80:
A) 1 B) 3 C) 4 D) 6
E) 8 AB) 9 AC) 10 AD) 12

13. Analytic Geometry A Accelerated Week 4 Page 46 of 53
Choices for 81‐83:
A. inscribed polygon B. circumscribed polygon C. neither
Choices for 84‐86:
A. inscribed circle B. circumscribed circle C. neither
Lesson 3.6 Inscribed and Circumscribed Polygons
Identify the polygon as inscribed, circumscribed, or neither.
81. 82. 83.
Identify the circle as inscribed, circumscribed, or neither.
84. 85. 86.

14. Lesson 3.7 Theorems of Inscribed Triangles and Quadrilaterals
87. Draw . What term best describes ?
A) tangent
B) radius
C) diameter
D) inscribed angle
E) center
Analytic Geometry A Accelerated Week 4 Page 47 of 53
Find the indicated measure.
88. 89. ∠
90. ∠
Use the given circle to find the following.

15. 91. Solve for x. 95. Find ∠ .
92. Solve for y. 96. Find ∠ .
93. Find ∠ . 97. Solve for x.
94. Find ∠ . 98. Solve for y.
99. Find ∠ .
Choices for 88‐90:
A) 26° B) 30° C) 36° D) 40° E) 50°
AB) 54° AC) 60° AD) 64° AE) 74° BC) 90°
Choices for 91‐99: (Answers are in degrees when necessary.)
A) 14 B) 16 C) 21 D) 22 E) 29
AB) 32 AC) 38 AD) 39 AE) 52 BC) 56
BD) 58 BE) 63 CD) 64 CE) 65 DE) 70
ABC) 76 ABD) 78 ABE) 82 BCD) 98 BCE) 104

16. CDE) 110 ABCD) 112 ABCE) 115 BCDE) 116 ABCDE) 117
Analytic Geometry A Accelerated Week 4 Page 48 of 53
Lesson 3.8 Circumference of a Circle
Find the exact circumference of the circle.
100. 101.
102. 103.
Use a calculator to find the approximate circumference of the ci
rcle. Round the answer to the
hundredths.
104. 105. 106. 107.
Given the circumference of the circle, find the radius. Round yo
ur answer to the hundredths.

17. 108. 109.
Choices for 100‐103: (units of
measurement are not shown)
A) 20π B) 3.5π
C) 9π D) 14π
E) 2.25π AB) 7π
AC) 13π AD) 4π
AE) 8π BC) 10.8π
BD) 6.5π BE) 16π
CD) 21.6π CE) 10π
Choices for 104‐107: (units of measurement are not shown)
A) 11 B) 7.07 C) 62.83 D) 31.42 E) 12.57 AB) 43.98
AC) 50.27
AD) 25.13 AE) 28.27 BC) 67.86 BD) 21.99 BE) 20.42
CD) 33.93 CE) 40.84
Choices for 108‐109: (units of

18. measurement are not shown)
A) 11.14 B) 21
C) 5.57 D) 2.79
E) 10.50 AB) 7.64
AC) 15.23 AD) 5.25
AE) 3.82 BC) 12.48
Analytic Geometry A Accelerated Week 4 Page 49 of 53
Find the indicated information for the circle. Round your answe
r to the hundredths.
110. Find the diameter of circle with a circumference of 43.25 ft
.
111. Find the circumference of a circle with a diameter of 24 in.
112. Find the radius of a circle with a circumference of 0.36 m.
113. Find the diameter of a circle with a circumference of 56 cm
.

19. Tire
A tire has a diameter of 14 inches. Find the indicated informatio
n.
114. Find the circumference of the tire.
A) 21.99 in B) 43.98 in C) 87.96 in D) 28 in E) 7 in
115. How many feet will the tire travel in 18 revolutions?
A) 131.94 ft B) 42 ft C) 32.99 ft D) 126 ft E) 65.97 ft
116.
A) 450 cm B) 707 cm C) 481 cm D) 1414 cm E) 942 cm
Lesson 3.9 Length of an Arc
Round to the hundredths.
117. 118. 119.
Choices for 110‐113: (units of
measurement are not shown)
A) 0.11 B) 7.64 C) 8.91

20. D) 13.77 E) 0.06 AB) 21.63
AC) 6.88 AD) 28 AE) 75.40
BC) 17.83 BD) 37.70 BE) 0.18
Choices for 117–119: (units of measurement are not shown)
A) 3.14 B) 5.36 C) 6.28 D) 7.33 E) 8.56 AB) 12.43
AC) 30.24 AD) 32.68 AE) 34.94 BC) 35.94 BD) 36.02
BE) 38.92
CD) 40.54 CE) 42.84 DE) 44.04 ABC) 45.27 ABD) 46.63
ABE) 47.12
Analytic Geometry A Accelerated Week 4 Page 50 of 53
Round to the hundredths when necessary.
120. 121.
122. 123.
124. 125.

21. Given the length of an arc, find the indicated measure. Round to
the hundredths.
126. 127. 128.
129.
A) 39.10 in
B) 42.56 in
C) 43.02 in
D) 44.12 in
C) 46.56 in
Choices for 120–125:
A) 80° B) 100° C) 160° D) 180° E) 200° AB)260°
AC) 280° AD) 340° AE) 9.77 m BC) 12.22 m BD) 19.55 m
BE) 21.99 m
CD) 22.86 m CE) 24.43 m DE) 28.07 m ABC) 31.76 m
ABD) 34.21 m ABE) 41.54 m

22. Choices for 126–128:
A) 65.98° B) 114.02° C) 122.42° D) 128.03° E) 52.48 ft
AB) 56.92 ft
AC) 58.03 ft AD) 60.04 ft AE) 14.83 cm BC) 16.24 cm
BD) 18.95 cm BE) 20.53 cm
Analytic Geometry A Accelerated Week 4 Page 51 of 53
Lesson 3.10 Area of a Circle
Find the exact area of the circle.
130. 131.
132. 133.
Use a calculator to find the approximate area of the circle. Roun
d the answer to the
hundredths.
134. 135. 136. 137.

23. Find the indicated information for the circle.
Round your answer to the hundredths.
138. Find the radius of a circle with an area of 64.25 ft
2
.
139. Find the diameter of a circle with an area of 24.56 in
2
.
140. Find the area of a circle with a circumference of 10.36 m.
141.
A) 263.89 ft
2
B) 441 ft
2
C) 1385.44 ft
2
D) 1764 ft
2
E) 5541.77 ft
2

24. Choices for 130‐133: (units of
measurement are not shown)
A) 100π B) 400π
C) 49π D) 14π
E) 64π AB) 42.25π
AC) 9π AD) 16π
AE) 256π BC) 40π
BD) 169π BE) 20.25π
CD) 466.56π CE) 116.64π
Choices for 134‐137: (units of measurement are not shown)
A) 100.53 B) 201.06 C) 804.25 D) 135.72 E) 297.86
AB) 43.98 AC) 524.31
AD) 681.32 AE) 366.44 BC) 67.86 BD) 50.27 BE) 68.01
CD) 1465.74 CE) 153.94
Choices for 138‐140: (units of
measurement are not shown)
A) 2.80 B) 4.52
C) 5.59 D) 8.54
E) 10.23 AB) 12.65

25. AC) 14.21 AD) 17.08
Analytic Geometry A Accelerated Week 4 Page 52 of 53
Lesson 3.11 Area of a Sector
Find the area of the shaded sector. Round to the hundredths.
142. 143.
144. 145.
146. Find the area of a sector bound by a 32 ft radius and a cent
ral angle of 75°.
Given the area of the shaded sector, find the indicated measure.
Round to the hundredths.
147. 148. 149.

26. Choices for 63–68: (units of measurement are not shown)
A) 6.83 B) 6.89 C) 6.96 D) 11.50 E) 11.83 AB) 12.02
AC) 106.88 AD) 107.06 AE) 108.22 BC) 221.07
BD) 222.46 BE) 223.88
Choices for 142‐146: (units of measurement are not shown)
A) 6.84 B) 9.08 C) 10.12 D) 16.08 E) 21.21 AB) 24.22
AC) 33.51 AD) 36.92 AE) 112.04 BC) 157.28 BD) 166.72
BE) 408.08
CD) 426.94 CE) 461.20 DE) 670.21 ABC) 812.42
ABD) 827.02 ABE) 846.83
Analytic Geometry A Accelerated Week 4 Page 53 of 53
150. Landscaping The diagram shows the area of a lawn cove
red by the sprinkler. What is the
area of the lawn that is covered by the sprinkler?
A) 285.88 ft
2

27. B) 296.15 ft
2
C) 298.65 ft
2
D) 301.59 ft
2
E) 308.32 ft
2