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Sector Arc

Total questions: 22

Worksheet time: 6hrs 30mins

Name
Class
Date
1.
What is the length of the blue arc?
a)
45⁰
b)
3.9 mi
c)
5.9 mi
d)
7.9 mi
2.

What is the length of the blue arc?

a)

1.6 mi

b)

22 mi

c)

3.1 mi

d)

12.6 mi

3.
What is the length of the blue arc?
a)
42.4 in
b)
1.2 in
c)
95.4 in
d)
21.2 in
4.
What is the area of the blue shaded sector?
a)
18.9 cm2
b)
56.5 cm2
c)
113.1 cm2
d)
14.1 cm2
5.
What is the are of the blue shaded sector?
a)
19.6 m2
b)
3.9 m2
c)
7.9 m2
d)
78.5 m
6.
What is the area of the yellow shaded sector?
a)
23.6 m2
b)
11.8 m2
c)
62.8 m2
d)
117.8 m2
7.
What is the area of the green shaded segment?
a)
18.3 cm2
b)
50.3 cm2
c)
169.1 cm2
d)
201.1 cm2
8.
What is the area of the green shaded segment?
a)
4.2 cm2
b)
0.2 cm2
c)
4.0 cm2
d)
2.4 cm
9.
What is the area of the blue shaded sector?
a)
11.5 cm2
b)
7.3 cm2
c)
22.9 cm2
d)
8.5 cm2
10.
What is the area of the pink shaded sector?
a)
12.6 u2
b)
4.2 u2
c)
73.0 u2
d)
113.0 u2
11.
What is the area of the blue shaded sector?
a)
38.3 yd2
b)
84.5 yd2
c)
26.7 yd2
d)
120.2 yd
12.
What is the area of the pink shaded segment?
a)
10.6 m2
b)
13.8 m2
c)
30.7 m2
d)
41.3 m2
13.
What region of a circle is defined as the region bounded by two radii and their intercepted arc.
a)
sector
b)
segment
c)
arc
d)
angle
14.
What is the region of a circle that is the part bounded by an arc and the segment joining the endpoints.
a)
sector
b)
segment
c)
arc
d)
angle
15.
What fraction of the circle does minor arc AB represent?
a)
82/180
b)
41/180
c)
180/82
d)
180/41
16.
What fraction of the circle does major arc ACB represent?
a)
278/180
b)
180/278
c)
180/139
d)
139/180
17.
How does the process for finding the arc length differ from the process for finding the sector area?
a)
The arc length is a degree while the sector area is labeled in square units.
b)
The arc length uses π while the sector area does not always use π.
c)
The arc length and sector area are always equal.
d)
The arc length requires using the circumference while sector area requires the circle area formula.
18.
Which of the following equations cannot be used to find the circumference of a circle?
a)
C=πd
b)
C=2πr
c)
C=πr2
d)
C=dπ
19.

Find the area of the unshaded region

a)

44 in2

b)

188.5 in2

c)

314.2 in2

d)

263.9 in2

20.

Given that the area of the shaded region, find the measure of angle BAC

a)

16

b)

30

c)

45

d)

23

21.

Given that the area of the shaded region, find the measure of the reflex angle to CAT

a)

145

b)

210

c)

215

d)

72.5

22.

Find the measure of the unshaded region.

a)

88.4 units2

b)

452.4 units2

c)

62.4 units2

d)

363.9 units2