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Arc Length & Area of a Sector

Total questions: 13

Worksheet time: 48mins

Name
Class
Date
1.
What is the area of this circle?
a)
8322.13
b)
1134.11
c)
4536.46
d)
1267.09
2.
Find the circumference of the circle
a)
87.82
b)
153.86
c)
43.96
d)
307.72
3.
An arc is a smaller piece of the...
a)
Chord
b)
Center
c)
Circumference
d)
Radius
4.

What is the length L called?

a)

circumference

b)

tangent

c)

arc

d)

sector

5.

What is the green area called?

a)

sector

b)

segment

c)

arc

d)

section

6.

What is the ϴ called?

a)

sector

b)

segment

c)

arc

d)

central angle

7.

Calculate the length of the bold arc.

a)

49.7 ft

b)

15.8 ft

c)

24.9 ft

d)

3.14 ft

8.

Calculate the length of the bold arc.

a)

5040 cm

b)

43 cm

c)

44 cm

d)

14 cm

9.
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
10.

Calculate the area of the sector.

a)

9.2 sq. in.

b)

10.5 sq. in.

c)

31.4 sq. in.

d)

38.2 sq. in.

11.

Calculate the area of the sector.

a)

4248 m2

b)

7.9 m2

c)

2827.4 m2

d)

11.8 m2

12.
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
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