WorksheetsMath 3 Unit 5 Practice
Total questions: 44
Worksheet time: 3hrs 42mins
Name
Class
Date
1.
Write 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
2.
Write the equation of a circle with center
(7, 0) with radius 3.
(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
3.
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
4.
What are the coordinates of the center and the radius of the circle with equation:
(x - 4)2 + (y - 3)2 = 25 ?
(x - 4)2 + (y - 3)2 = 25 ?
a)
Center (4,3)
Radius = 5 units
Radius = 5 units
b)
Center (4,3)
Radius = 25 units
Radius = 25 units
c)
Center (-4,-3)
Radius = 25 units
Radius = 25 units
d)
Center (-4,-3)
Radius = 5 units
Radius = 5 units
5.
What is 5π/6 radians in degrees?
a)
180
b)
150
c)
360
d)
120
6.
What is 7π/4 radians in degrees?
a)
300
b)
135
c)
315
d)
45
7.
What is 4π/3 radians in degrees?
a)
120
b)
240
c)
210
d)
270
8.
What is 150 degrees in radians?
a)
5π/6
b)
7π/6
c)
5π/4
d)
π/6
9.
What is 45 degrees in radians?
a)
π/2
b)
π/6
c)
π/4
d)
3π/4
10.
What is 60 degrees in radians?
a)
2π/3
b)
π/3
c)
4π/3
d)
π/6
11.
Find the arc length. Leave your answer in terms of π.
a)
7/4π
b)
7/2π
c)
1/8π
d)
45π
12.
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
13.
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
14.
Find the radius of Circle R.
a)
4
b)
245
c)
45π
d)
7
15.
Find the circumference of circle R.
a)
108π
b)
1200π
c)
43π
d)
30π
16.
Find the area of the sector, rounding your answer to 1d.p.
a)
176.7cm2
b)
23.6cm2
c)
156.7cm2
d)
88.4cm2
17.
Find the area of the sector, rounding your answer to 1d.p.
a)
67.1cm2
b)
67.0cm2
c)
16.8cm2
d)
134.0cm2
18.
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
19.
Find the area of each sector.
a)
4248 m2
b)
7.9 m2
c)
2827.4 m2
d)
11.8 m2
20.
What is the area of the shaded region? Round to the nearest hundredth.
a)
1.26
b)
452.39
c)
113.10
d)
40715.04
21.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
7
b)
2
c)
0
d)
4
22.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
1
b)
11
c)
7
d)
6
23.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
1
b)
10
c)
4
d)
5
24.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
12
b)
4
c)
6
d)
2
25.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
11
b)
10
c)
6
d)
2
26.
Give an example of a chord
a)
line HI
b)
line KL
c)
line GH
d)
line GJ
27.
Find x
a)
10
b)
5
c)
18
d)
9
28.
Find the value of x.
a)
10
b)
181
c)
34
d)
40
29.
Find JI.
a)
30
b)
12
c)
7
d)
41
30.
Find the degree measure of Arc WV.
a)
167
b)
23
c)
20
d)
172
31.
What is the value of x?
a)
22
b)
25
c)
15
d)
20
32.
Find the value of x. 14 and 18 represent the entire length of the chords
a)
√512
b)
√32
c)
√35
d)
√128
33.
Find the value of x.
a)
15
b)
13
c)
3
d)
6
34.
a)
278⁰
b)
297⁰
c)
90⁰
d)
105⁰
35.
How big is angle b?
a)
50 degrees
b)
60 degrees
c)
70 degrees
d)
75 degrees
36.
What is the measure of arc AYB
a)
50
b)
100
c)
180
d)
260
37.
Two tangents CD and CB intersect circle A. Find the length of the tangent segment BC.
a)
2
b)
3
c)
9
d)
14
38.
In the diagram, AC is tangent to circle B, find the length of CB.
a)
6
b)
7
c)
8
d)
9
39.
Find x.
a)
4.4
b)
8.3
c)
9.4
d)
8.8
40.
Find the value of x
a)
x=28
b)
x=14
c)
x=23
d)
x=46
41.
If m∠CAP = 34° , find ∠CAB.
a)
A. 17°
b)
B. 34°
c)
C. 68°
d)
D. 90°
42.
Find the length of segment AG.
a)
x=6
b)
x=3
c)
x=9
d)
x=18
43.
Is DE the perpendicular bisector of BC?
a)
yes
b)
no
44.
If TP=27, ZP=?
a)
18
b)
9
c)
13.5
d)
54
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