Practice Page
Directions: Read carefully! Do not assume diagrams are drawn to scale.
1.
Find the length of an arc whose central angle measures 120º in a circle of radius 9.
Express answer in terms of π.

Choose:
3π
6π
9π
27π

 

 

2.
Find the measure of the central angle of an arc whose length measures 2.5π in a circle of radius 10. Express answer in degrees.

Choose:
144º
120º
90º
75º

 

 

3.
The length of an arc is given to be 6π, with a central angle of 60º. Find the radius of the circle.

Choose:
6
6π
9
18

 

 

4.
Using the approximation π = 3.14, find the length of the arc of measure 72º in a circle with a diameter of 10.

Choose:
62.8
125.6
31.4
72.8

 

 

5.
Which formula can be used to find the length of a semicircle of radius r?

Choose:
length = 4πr
length = 3πr
length = 2πr
length = πr

 

 

6.
A child pushes a playground merry-go-round so handle A moves to position B. The radius of the merry-go-round is 5 feet and the distance traveled by the handle along the arc from A to B is 4.5 feet. Find to the nearest degree, the measure of minor arc arcab.

Choose:
45º
52º
64º
72º
length1a

 

 

7.
A horse on a lunge line travels in a circle around its trainer. The radius of the horse's circle is 24 feet. If the angle between location S and P on the circle is 140º (counterclockwise), find the length the horse travels from S to P in feet, to the nearest foot.

Choose:
24 feet
43 feet
48 feet
59 feet
length2

 

 

8.
A sprinkler head is equidistant from flower garden A and a small shrub B. The sprinkler waters in a circular pattern. If the length of minor arc arcab is 12 feet and the radius of the circle is 10 feet, find the measure of the central angle subtended by minor arc arcab, to the nearest degree.

Choose:
58º
65º
69º
100º
length3

 

 

9.
A circular pizza is divided into eight equal slices. The outer edge of the crust from one piece measures 5.5 inches. What is the diameter of the pizza to the nearest inch?

Choose:
7 inches
 9 inches
12 inches
14 inches



10.
Bob wants to walk in a circle for a distance of one mile. In his circle, a central angle or 45º has an intercepted arc length of 20 feet. How many revolutions must he walk to reach one mile?

Choose:
29
33
44
88


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