WorksheetsCircles Assessments Part C & D Review
Total questions: 90
Worksheet time: 4hrs 23mins
Name
Class
Date
1.
Find the measure of minor arc AC.
a)
76°
b)
135.5°
c)
70.5°
d)
65°
2.
Find the m∠1.
a)
130⁰
b)
65⁰
c)
44⁰
d)
86⁰
3.
Find the measure of arc RT.
a)
123⁰
b)
83⁰
c)
52⁰
d)
24⁰
4.
Solve for x and y.
a)
x=85⁰ y = 150⁰
b)
x = 85⁰ y = 50⁰
c)
x = 95⁰ y = 150⁰
d)
x = 95⁰ y = 50⁰
5.
Find the measure of arc SR
a)
70⁰
b)
35⁰
c)
110⁰
d)
55⁰
6.
Find m∠FAE.
a)
60⁰
b)
50⁰
c)
40⁰
d)
30⁰
7.
Solve fro x.
a)
x = 7
b)
x = 12
c)
x = 8
d)
x = 13
8.
Solve for x.
a)
x = 12
b)
x = 24
c)
x = 2
d)
x = 53
9.
Solve for x.
a)
x = 5
b)
x = 7
c)
x = 3
d)
x = 9
10.
Find the length of EC
a)
24
b)
9
c)
15
d)
13
11.
a)
A
b)
B
c)
C
d)
D
12.
Determine the measure of Arc PG.
a)
A
b)
B
c)
C
d)
D
13.
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
14.
What is the value of x?
a)
92
b)
25
c)
12.5
d)
105
15.
Find the m∠ABD.
a)
14
b)
51
c)
37
d)
65
16.
Find the measure of arc KM.
a)
29
b)
33
c)
41.5
d)
50
17.
Solve for x.
a)
x = 35.67
b)
x = -1
c)
x = 14
d)
x = -4.33
18.
Find the value of x.
a)
x = 17
b)
x = 16
c)
x = 29.67
d)
x = 18
19.
In the circle, find the measure of angle CAB.
a)
A
b)
B
c)
C
d)
D
20.
In the circle, find the measure of angle CAB.
a)
A
b)
B
c)
C
d)
D
21.
Find the m∠EFH.
a)
61
b)
65
c)
114
d)
130
22.
a)
A
b)
B
c)
C
d)
D
23.
Find measure of angle R.
a)
24
b)
41
c)
67
d)
139
24.
What is the value of y?
a)
27
b)
54
c)
108
d)
540
25.
Determine the value of all three variables. Rank a, b, and c in order from greatest to least.
a)
a,b,c
b)
b,a,c
c)
c,a,b
d)
c,b,a
26.
What is the measure of arc NM?
a)
116
b)
117
c)
118
d)
119
27.
What is the measure of angle QRP?
a)
23
b)
24
c)
22
d)
21
28.
What is the measure of angle 2?
a)
80
b)
45
c)
125
d)
40
29.
What is the measure of angle 1?
a)
130
b)
65
c)
44
d)
86
30.
Determine the value of z.
a)
37.5
b)
55
c)
57.5
d)
75
31.
a)
15
b)
20
c)
14/3
d)
3/14
32.
Determine the value of x
a)
40
b)
100
c)
60
d)
140
33.
a)
7
b)
8
c)
10/3
d)
2
34.
a)
10
b)
5
c)
2
d)
12.5
35.
a)
13
b)
16
c)
12
d)
5
36.
a)
5
b)
12
c)
24
d)
10
37.
a)
9
b)
81
c)
27
d)
21
38.
a)
11.67
b)
9.33
c)
11
d)
28
39.
a)
18
b)
18.5
c)
17
d)
4.5
40.
a)
28.05
b)
28
c)
51
d)
1.55
41.
a)
48
b)
7
c)
8
d)
16
42.
Find the arc length. Leave your answer in terms of π.
a)
7/4π
b)
7/2π
c)
1/8π
d)
45π
43.
Find the length of the bold arc.Leave pi in your answer.
a)
5688π ft
b)
15.8π ft
c)
150.4π ft
d)
54,150 ft
44.
Find the area of each sector.
a)
52.4 in2
b)
18,864 in2
c)
60 in2
d)
10.47 in
45.
Find the area of each sector.
a)
4248 m2
b)
7.9 m2
c)
2827.4 m2
d)
11.8 m2
46.
What is the area of the shaded sector?
a)
339.12 in2
b)
113.04 in2
c)
339.29 in2
d)
None of the above
47.
When she is outdoors, Tasha, the dog, is tied to a stake in the center of a circular area of radius 24 feet. The angle between her dog house and her favorite hydrant is 165 degrees. What is the length of the arc from her dog house to the hydrant, following minor arc DG, to the nearest foot.
a)
40
b)
35
c)
55
d)
69
48.
Stephanie was jogging around circular track. One part of the track was darker than the rest. She found the angle to be 270 degrees. She found the diameter was thirty feet. What is the arc length around the darker part of the track she jogged on? (rounded to the nearest whole number)
a)
71 feet
b)
59 feet
c)
84 feet
d)
63 feet
49.
find the area of the circle below.
a)
100 cm
b)
225 cm
c)
9 cm
d)
28.26 cm
50.
Rob is trying to open a can. He wants to find the arc length the can opener needs to travel to open the can half way. The radius of the can is 1.5 inches.
a)
10 inches
b)
2 feet
c)
4.71 inches
d)
3.53 inches
51.
Find the area of the circle
a)
56.52
b)
254.34
c)
1017.36
d)
113.04
52.
is the formula for?
a)
arc length
b)
area of a sector
c)
area of a segment
d)
arc measure
53.
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)
9.2 sq. in.
b)
10.5 sq. in.
c)
31.4 sq. in.
d)
38.2 sq. in.
54.
You stop for lunch at a local pizza shop where each pizza is cut into 8 slices. Would your hunger be better satisfied with one slice from a 16 inch pizza or two slices from a 12 inch pizza
a)
One Slice
b)
Two Slices
55.
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 each stained glass section? Express answer to the nearest square foot.
a)
1 sq. ft
b)
13 sq. ft
c)
3 sq. ft
d)
26 sq. ft
56.
Find the area of a segment of a circle if the central angle of the segment is 60° and the radius is 10. Express answer to the nearest tenth of a square unit.
a)
9.1 sq. units
b)
27.2 sq. units
c)
60 sq. units
d)
54.4 sq. units
57.
FIND THE SECTOR AREA OUTLINED IN BOLD
a)
A
b)
B
c)
C
d)
D
58.
FIND THE SECTOR AREA OUTLINED IN BOLD
a)
A
b)
B
c)
C
d)
D
59.
FIND THE SECTOR AREA OUTLINED IN BOLD
a)
A
b)
B
c)
C
d)
D
60.
What is 5π/6 radians in degrees?
a)
180
b)
150
c)
360
d)
120
61.
What is 7π/4 radians in degrees?
a)
300
b)
135
c)
315
d)
45
62.
What is 0 degrees in radians?
a)
2π
b)
0
c)
π
d)
π/2
63.
What is 150 degrees in radians?
a)
5π/6
b)
7π/6
c)
5π/4
d)
π/6
64.
What is 360 degrees in radians?
a)
2π/3
b)
5π/4
c)
2π
d)
π
65.
What is 45 degrees in radians?
a)
π/2
b)
π/6
c)
π/4
d)
3π/4
66.
What is 90 degrees in radians?
a)
π/4
b)
π/2
c)
π/6
d)
3π/2
67.
What is 60 degrees in radians?
a)
2π/3
b)
π/3
c)
4π/3
d)
π/6
68.
What is 120 degrees in radians?
a)
2π/3
b)
π/3
c)
5π/3
d)
4π/3
69.
What is 2π/3 radians in degrees?
a)
150
b)
120
c)
180
d)
30
70.
What is 240 degrees in radians?
a)
π/3
b)
4π/3
c)
5π/3
d)
2π/3
71.
What is 225 degrees in radians?
a)
7π/4
b)
5π/4
c)
3π/4
d)
5π/3
72.
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
73.
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
74.
In the equation (x+2)2+(y-3)2=4, the radius of the circle is...
a)
4
b)
2
c)
3
d)
16
75.
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)
76.
What is the center of the circle with equation x2 + y2 = 1?
a)
(1, 1)
b)
(0, 0)
c)
not enough information
77.
In the equation (x-3)2+(y+4)2=121, the radius of the circle is
a)
242
b)
11
c)
121
d)
22
78.
Which of the following equations of circle in general form given the center at (5, -8) and radius of 11 units?
a)
x2 + y2 -10x + 16y + 32 = 0
b)
x2 + y2 -10x + 16y - 32 = 0
c)
(x - 5)2 + (y + 8)2 = 11
d)
(x - 5)2 + (y + 8)2 = 121
79.
Which of the following equations of circle in general form given the center at (3, 4) and radius of 5 units?
a)
(x – 3)2 - (y – 4)2 = 25
b)
(x – 3)2 + (y – 4)2 = 25
c)
x2 + y2 + 6x - 8y - 25 = 0
d)
x2 + y2 - 6x - 8y = 0
80.
In order to convert from general form to center-radius form, you must ___________.
a)
Multiply out
b)
expand
c)
factor
d)
complete the square
81.
Determine the center and radius: x2 + y2 + 14x - 2y = -1
a)
center= (-7,2) radius= 3
b)
center= (-7,1) radius= 7
c)
center= (-4,1) radius= 5
82.
Determine the equation of the circle in standard form: x2 + y2 + 6x - 12y + 20 = 0
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
83.
Determine the equation of the circle in standard form:
x² + y² + 4x + 6y - 36 = 0
x² + y² + 4x + 6y - 36 = 0
a)
(x+2)2 + (y+3)2 = 49
b)
(x+2)2 + (y+3)2 = 13
c)
(x-2)2 + (y-3)2 = 49
d)
(x-2)2 + (y-3)2 = 13
84.
Determine the equation of a circle with center (5,-3) and radius of 9
a)
x2+y2-10x+6y-47=4
b)
x2+y2-10x-6y-47=0
c)
2x2+y2+10x+6y-47=0
d)
x2+y2-10x+6y-47=0
85.
Determine the equation of the circle in standard form:
x² + y² + 4x + 6y - 36 = 0
x² + y² + 4x + 6y - 36 = 0
a)
(x+2)2 + (y+3)2 = 49
b)
(x+2)2 + (y+3)2 = 13
c)
(x-2)2 + (y-3)2 = 49
d)
(x-2)2 + (y-3)2 = 13
86.
Determine the equation of a circle with center (5,-3) and radius of 9
a)
x2+y2-10x+6y-47=4
b)
x2+y2-10x-6y-47=0
c)
2x2+y2+10x+6y-47=0
d)
x2+y2-10x+6y-47=0
87.
Determine the equation of the circle in standard form: x2 + y2 + 6x - 12y + 20 = 0
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
88.
Determine the center and radius:
x2 + y2 - 10x + 8y -8 = 0
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
89.
Determine the center and radius: x2 + y2 + 14x - 2y = -1
a)
center= (-7,2) radius= 3
b)
center= (-7,1) radius= 7
c)
center= (-4,1) radius= 5
90.
What is the radius of the given circle:
x²+y²-10x+8y-23=0?
x²+y²-10x+8y-23=0?
a)
4
b)
2
c)
8
100 %
