Is there an easy way to convert degrees to radians?

1 Answer
Oct 31, 2015

Answer:

see explanation

Explanation:

It is a matter of establishing a link between the two conditions then changing the representation of that link to suit your objective.

The link is how many of each is in either #1/2# a circle or if you prefer, all of a circle

There are 360 degrees in a circle.

There is #2pi# radians in a circle.

These for a consistent ratio

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(red)("Change radians to degrees:")# #-> ("given radians") times ("Degrees")/("Radians")#

#("given radians") times (360^o)/((2pi)#
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(red)("Change degrees into radians:") # #-> ("given degrees") times ("Radians")/("Degrees")#

#("given degrees") times (2pi)/(360^o)#
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
So you just put what you wish to convert into as the top of the fraction (Numerator). A lot of people use 3.142 as an approximation for #pi#.