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WorksheetsArcs and Sectors
Total questions: 19
Worksheet time: 4hrs 3mins
Name
Class
Date
1.
Find the measure of arc AB.
a)
17
b)
34
c)
68
d)
146
2.
Find the arc length. Leave your answer in terms of π.
a)
7/4π
b)
7/2π
c)
1/8π
d)
45π
3.
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
4.
Find the area of each sector.
a)
52.4 in2
b)
18,864 in2
c)
60 in2
d)
10.47 in
5.
Find the area of each sector.
a)
4248 m2
b)
7.9 m2
c)
2827.4 m2
d)
11.8 m2
6.
FIND THE ARC LENGTH OF THE BOLDED ARC
a)
A
b)
B
c)
C
d)
D
7.
FIND THE ARC LENGTH OF THE BOLDED ARC
a)
A
b)
B
c)
C
d)
D
8.
If the length of the 45° region of this circle is 10 inches, what is the radius of the circle?
a)
1.6in
b)
3in
c)
6.8in
d)
2.5in
9.
Given that m∠AOB = 13π/18 and the radius is 8 cm, what is the length of arc AB?
a)
13π/8 cm
b)
52π/9 cm
c)
π/9 cm
d)
9π/52
10.
Find the area of a sector with an arc length of 30 cm and a radius of 8 cm.
a)
240 cm2
b)
80 cm2
c)
120 cm2
d)
180 cm2
11.
What is the area of sector GPH?
a)
9π yd2
b)
32π yd2
c)
18π yd2
d)
6π yd2
12.
Find the area of the shaded sector of the circle.
a)
b)
c)
d)
13.
In a circle, a 90° sector has area 64π in2. What is the radius of the circle?
a)
16 in
b)
32 in
c)
64 in
d)
128 in
14.
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
15.
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.
16.
FIND THE SECTOR AREA OUTLINED IN BOLD
a)
A
b)
B
c)
C
d)
D
17.
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
18.
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
19.
Alison is jogging on a circular track that has a radius of 140 feet. She runs along the track from point R to point N, a distance of 230 feet. Find to the nearest degree, the measure of minor arc RN.
a)
47
b)
74
c)
94
d)
123
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