Radian conversion to degrees
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Equivalent radian and degree measures for special angles 0 degree to 360 degrees
0 degree= 0 radian 90 degree= pi/2 180 degree= pi 270 degrees= 3 pi/2 360 degree= 2 *pi
Radian
Angles are measured in both radians and degrees. Degree measure and radian measure are related by the equation 360 degrees= 2 * pi radians or 180 degrees= pi radians
Examples
convert 110 degrees to radians Sol: 110 degrees= 110 (pi/180)= 11*pi/18 Convert pi/9 radians to degrees- pi/9 = (- pi/9 radians) (180/pi radians)- -20 degrees
Conversions between degrees and radians
to rewrite a degree measure in radians, multiply by (pi radian/180 degrees) To rewrite a radian measure in degrees, multiply by (180 degrees/pi radians)