Trigonometry
Arc Length and Radian Measure
Solve the following problem.
Convert 55* to radians.

55° is equal to 0.9599 radians.  

Step-by-step explanation:  

Step 1:  

If an angle is represented in degrees, it will be of the form x°.  

If an angle is represented in radians, it will be of the form radians.  

To convert degrees to radians, we multiply the degree measure by .

For the conversion of degrees to radians,

the degrees in radians = (given value in degrees)().

Step 2:

To convert 50°,  

radians.

So 55° is equal to 0.9599 radians.

0.96 radians

Step-by-step explanation:

Degrees : radians

180 : pi

55 : x

x/55 = pi/180

x = 55pi/180

x = 11pi/36

x = 0.96 radians

126.66 m²

step-by-step explanation:

the pertinent area formula is a = πr², where r is the radius.

here, a = π(6.35 m)² = 40.32π, or approximately 126.66 m²