Name: 
 

Arc Length



 1 

A sprinkler system is set up to water the sector shown in the accompanying diagram, with angle ABC measuring 1 radian and radius mc001-1.jpg feet.

mc001-2.jpg

What is the length of arc AC, in feet?
a)
63
c)
20
b)
31
d)
10
 

 2 

A circle has a radius of 4 inches.  In inches, what is the length of the arc intercepted by a central angle of 2 radians?
a)
mc002-2.jpg
c)
mc002-3.jpg
b)
2
d)
8
 

 3 

In a circle with a diameter of 24 cm, a central angle of mc003-1.jpg radians intercepts an arc.  The length of the arc, in centimeters, is
a)
mc003-3.jpg
c)
mc003-5.jpg
b)
mc003-4.jpg
d)
mc003-6.jpg
 

 4 

Jack wants to plant a border of flowers in the shape of an arc along the edge of a circular walkway.  If the circle has a radius of 5 yards and the angle subtended by the arc measures mc004-1.jpg radians, what is the length, in yards, of the border?
a)
0.5
c)
5
b)
2
d)
7.5
 

 5 

A wheel has a radius of 18 inches.  Which distance, to the nearest inch, does the wheel travel when it rotates through an angle of mc005-1.jpg radians?
a)
45
c)
13
b)
23
d)
11
 

 6 

A circle is drawn to represent a pizza with a 12 inch diameter.  The circle is cut into eight congruent pieces.  What is the length of the outer edge of any one piece of this circle?
a)
mc006-2.jpg
c)
mc006-4.jpg
b)
mc006-3.jpg
d)
mc006-5.jpg
 



 
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