Multiple Choice Practice
Arc Length and Radian Measure
Algebra 2 Trigonometry Level
 Algebra 2Trig Index | Regents Exam Prep Center

Also available in Hardcopy (.pdf):
Arc Length and Radian Measure
 

Directions:  Choose the best answer.  Answer ALL questions (or only a few at a time), then use the BUTTON at the BOTTOM of the page to check your answers.  If you are told that an answer is incorrect, go back and redo that question and CHECK ANSWERS again.   You may CHECK ANSWERS at any time.
You may use your graphing calculator when working on these problems.

1.  A central angle of alm1 radians intercepts an arc whose degree measure is
       [1]  alm1                 [2]  96                    [3]  72                  [4]  48   

 

 

2.  Expressed in degrees, alm2 is equivalent to

     [1]  240º                 [2]  300º                 [3]  420º                [4]  480º
 

 

 

3.  A banner is made in the shape of a sector, shown at the right. Angle MOP measures 1 radian, and the radius of the sector measures 10 feet. A blue rope piping is placed around the outside edge of this sector banner. How many feet of rope piping is needed to outline the entire sector?  

         [1]  25 feet
         [2]  28 feet
         [3]  30 feet
         [4]  32 feet
mpic1
 

 

4.  What is the radian measure of an angle whose measure is -390º ?

   [1]   m5a               [2]   m5b             [3]   m5c              [4]  m5d

 

 

 

5.  A wedge-shaped slice is cut from a circular pizza. The radius of the pizza is 8 inches and the rounded edge of crust of the slice measures 6.4 inches. What is the angle of the pointed end of the pizza slice, in radians to the nearest tenth?

   [1] 0.8
   [2] 1.6
   [3] 8.0
   [4] 51.2
pizza
 


6.  If placed in standard position, an angle of mm5 radians has the same terminal side as an angle of

     [1] -315º                   [2] -135º                   [3] - 45º               [4] -15º
 

 

 

7.  A plastic protractor represents half of a circle. The protractor shown at the right has a radius of 2.5" and the angle AOB is measuring 45º. What is the length, x, in inches, along the outer edge of the protractor in the interior of <AOB ? Express answer in terms of pi.

    [1]  7d                    [2] m7a
    [3] m7c                    [4] m7d
prot
Diagram used with permission.

 

 

 

8.  Expressed in radians, 235º is equivalent to    

    [1] m6a                    [2] m6b                  [3] m6a                   [4] m6
 

 

9.  Convert -30º to radian measure.

     [1] m9a                     [2]  m9b                     [3] m9c                 [4]  m9d
 

 

10.  In a circle with a radius of 3 centimeters, what is the length, in centimeters, of an arc intercepted by a central angle of 2 radians?

     [1]  3                       [2]  4                        [3]  6                      [4]  12
 

 





Algebra 2 Trig Index | Regents Exam Prep Center