math problem?

Question

convert 15 degrees to radians and convert 2.5 rad to degrees. please do this so i can use them as an example to go by thanks

Answer 1

180 degrees = pi radians. So, to find 15 degrees in radians, do a proportion:

15/180 = x/pi

15 * pi = 180x

x = pi * 15/180 = pi/12

In the same fashion, to convert 2.5 radians to degrees,

x/180 = 2.5/pi

pi * x = 180 * 2.5

x = 540/pi = aprox. 171.887 degrees, or about 171 degrees 53 minutes 14 seconds.

Answer 2

To convert from degrees to radians, you have to multiply by
pi/180.

Example: Convert 30 degrees to radians.

Conversion: (30) (pi/180) = (30pi/180), which reduces to (pi/6).

To convert from radians to degrees, you have to multiply by
180/pi.

Example: Convert 5pi/4 to degrees.
Conversion:

(5pi/4) (180/pi)

Note that the pi in the first fraction and the pi in the second fraction cancel each other out, leaving us with

(5/4) (180/1). This becomes
900/4 = 225 degrees.

Answer 3

All you need to know is:

180° = π radians

Then you have either:

180°/π rads = x°/y rads

-or-

π rads/180° = y rads/x°

Plug in whichever you have for x or y and solve for the one you need.