Question

Trigonometry

Answer 1

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 $\frac{\pi}{x}$radians.  

To convert degrees to radians, we multiply the degree measure by $\frac{\pi}{180}$.

For the conversion of degrees to radians,

the degrees in radians = (given value in degrees)($\frac{\pi}{180}$).

Step 2:

To convert 50°,  

$55\left(\frac{\pi}{180}\right)=\frac{55\pi}{180}.$

$0.3055 (\pi) =0.9599$ radians.

So 55° is equal to 0.9599 radians.

Answer 2

Answer:

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