Question

What is the general formula to convert radians to degrees and vice versa?

Answer 1

see explanation

Explanation:

`color(blue)( " to convert radians to degrees")`

( angle in radians) `xx 180/pi`

example: convert `pi/2 color(black)(" radians to degrees ")`

angle in degrees `= cancel(pi)/2 xx 180/cancel(pi) =180/2 = 90^@`

`color(red)(" to convert degrees to radians")`

(angle in degrees)`xx pi/180`

example : convert 90º to radians

angle in radians = `cancel (90) xx pi/cancel(180) =pi/2`