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Worksheets

Circles - Length of arc

Total questions: 31

Worksheet time: 53mins

Name
Class
Date
1.
Find the arc length.  Leave your answer in terms of π.
a)
7/4π
b)
7/2π
c)
1/8π
d)
45π
2.
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
3.

Find the arc length of the bolded arc. Give your answer in terms of π.

a)

(65/12)π cm

b)

17.02 cm

c)

(845/24)π cm

d)

26π cm

4.
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
5.
Rob is trying to open a can. He wants to find the arc length the can opener needs to travel to open the can half way. The radius of the can is 1.5 inches.
a)
10 inches
b)
2 feet
c)
4.71 inches
d)
3.53 inches
6.
In circle O, the radius is 4, and the length of minor arc AB is 4.2 feet.  Find the measure of minor arc AB to the nearest degree.
a)
90
b)
60
c)
55
d)
113
7.
Stephanie was jogging around circular track. One part of the track was darker than the rest. She found the angle to be 270 degrees. She found the diameter was thirty feet. What is the arc length around the darker part of the track she jogged on? (rounded to the nearest whole number)
a)
71 feet
b)
59 feet
c)
84 feet
d)
63 feet
8.
a)

60o

b)

157o

c)

50o

d)

493o

9.
FIND THE ARC LENGTH OF THE BOLDED ARC
a)
A
b)
B
c)
C
d)
D
10.
In circle O, the radius is 4, and the measure of minor arc AB is 120 degrees. Find the length of minor arc AB to the nearest integer.
a)
5
b)
9
c)
8
d)
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.
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
13.

Find the length of the arc to 2dp

a)

9.42cm

b)

150.80cm

c)

4.71cm

d)

18.85cm

14.

Find the length of the arc to 2dp

a)

2.09m

b)

301.59m

c)

1.05m

d)

2.51m

15.

Find the length of the arc to 2dp

a)

25.12cm

b)

12.57cm

c)

628.32cm

d)

31.42cm

16.

Find the length of the arc to 2dp

a)

1.95cm

b)

3.91cm

c)

0.98cm

d)

2.93cm

17.

Find the length of the arc to 2dp

a)

49.74cm

b)

24.87cm

c)

4.97cm

d)

24.9cm

18.

Find the length of the arc to 2dp

a)

32.11cm

b)

16.05cm

c)

780.84cm

d)

32.99cm

19.

Find the length of the arc to 2dp

a)

246.09cm

b)

24.61cm

c)

123.05cm

d)

240.86cm

20.

Find the length of the arc to 2dp

a)

37.70cm

b)

37.69cm

c)

18.85cm

d)

18.84cm

21.

Find the length of the arc to 2dp

a)

43.98cm

b)

439.82cm

c)

219.91cm

d)

21.99cm

22.

Find the length of the arc to 2dp

a)

0.63cm

b)

0.62cm

c)

0.31cm

d)

6.28cm

23.

Find the length of the arc to 2dp

a)

21.99mm

b)

65.97mm

c)

32.99mm

d)

11.00mm

24.

Find the length of the arc to 2dp

a)

7.07cm

b)

14.13cm

c)

28.27cm

d)

42.41cm

25.

Find the length of the arc to 2dp

a)

115.61cm

b)

28.90cm

c)

57.81cm

d)

86.71cm

26.

Find the length of the arc to 2dp

a)

5.76cm

b)

18.85cm

c)

7.33cm

d)

11.52cm

27.

Find the arc length of the bolded arc. Give your answer in terms of π.

a)

(65/12)π cm

b)

17.02 cm

c)

(845/24)π cm

d)

26π cm

28.
Find the arc length indicated by the bolded arc. 
a)
31.4 cm
b)
354.0 cm
c)
706.9 cm
d)
442.4 cm
29.

Calculate the length of the bold arc.

a)

5040 cm

b)

43 cm

c)

44 cm

d)

14 cm

30.

Calculate the length of the bold arc.

a)

61.3 ft

b)

20.4 ft

c)

7351.3 ft

d)

22,068 ft

31.

What is the circumference of this circle with a diameter of 12cm?

a)

3.14 cm

b)

37.7 cm

c)

24 cm

d)

68.4 cm