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Review for CFA #10 Arc length and sector area

Total questions: 10

Worksheet time: 1hrs 1mins

Name
Class
Date
1.

Find the length of the arc with r = 12 and Θ = 270

a)

135 Pi/4

b)

18 Pi

c)

50 Pi

d)

507 Pi/8

2.

Find the length of the arc with r = 6 and Θ =150

a)

28 pi/3

b)

15 Pi

c)

36 Pi

d)

5 Pi

3.

Find the length of the arc

a)

39Π/8

b)

25Π/4

c)

10Π

d)

40Π

4.

Find the length of the arc.

a)

388,800Π

b)

1805Π/24

c)

1080Π

d)

5.

Find the area of a sector with = 6 and Θ = 90

a)

352Π/3

b)

c)

3Π/4

d)

6.

Find the area of the sector with r = 16 and Θ = 315

a)

224Π

b)

20Π

c)

10,080Π

d)

10Π

7.

Find the area of the sector.

a)

100Π

b)

20Π

c)

d)

25Π

8.

Find the area of the sector.

a)

14Π

b)

35Π/12

c)

24Π

d)

84Π

9.

What is the area of sector​ GPH?

a)

9π yd2

b)

32π yd2

c)

18π yd2

d)

6π yd2

10.
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