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Arc Length of a Circle

Total questions: 10

Worksheet time: 29mins

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.

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 in degrees.

a)

47

b)

74

c)

94

d)

123

4.
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
5.
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
6.
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
7.
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
8.

Find the area of this circle

a)

615.8

b)

153.9

c)

307.9

d)

721.9

9.

Find the radius of a circle with a circumference of 21.99 feet

a)

3.5

b)

10.2

c)

7.4

d)

2.5

10.

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