Qual é a fórmula geral para converter radianos em graus e vice-versa?

#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 #