How do you convert 36 degrees to radians?

1 Answer
Feb 1, 2018

#pi/5 rad#

Explanation:

First, think about what a radian is and how it relates to degrees, using a full circle. A circle contains #360# degrees as well as #2pi# radians, so you can use that relationship by setting up unit conversion. If you are trying to find degrees, multiply the angle in radians by #(pi/180^@)#. If you are trying to find radians, as you are in this scenario, multiply your angle in degrees by #(180^@/pi)#. This brings us to setting up #36^@(pi/180^@)#, which gives us #(36pi)/180#. You can simplify this to #pi/5#, which is the answer.