Practice with
Arc Length and Radian Measure
Topic Index | Algebra2/Trig Index | Regents Exam Prep Center


Choose the best answer to the following questions.
Grab your calculator.

1.

Convert radians to degrees.

Choose:

30º
 45º
60º

 

 

2.

Convert 120º to radian measure.

Choose:



 

 

3.

Convert to degrees.

Choose:

-288º
 -124º
 -72º

 

 

4.

Convert 135º to radian measure.

Choose:



 

 

5.

Convert 4 radians to degrees.

Choose:

229.183º
 320º
 146.244º

 

 

6.

Convert  -30º to radian measure.

Choose:



 

 

7.

The number of radians in a complete rotation is approximately ____.

Choose:

36
 10
 6.28
3.14

 

 

8.

In a circle, a central angle of radians subtends an arc of 3 centimeters.  Find the length, in centimeters, of the radius of the circle.

Choose:

3 cm
 6 cm
8 cm
 9 cm

 

 

9.

Find, in centimeters, the length of an arc intercepted by a central angle of 4 radians in a circle with a radius of 3.5 cm.

Choose:

14 cm
 12 cm
8 cm
1.1 cm

 

 

10.

A sector has a radius of 12 cm. and an angle of 65º.  To the nearest tenth of a cm., find its arc length.

Choose:

4.3 cm
 13.6 cm
102.5 cm
 780.0 cm

 

 
Topic Index | Algebra2/Trig Index | Regents Exam Prep Center
Created by Donna Roberts