Convert the following degree measure to radian measure 36 de

Convert the following degree measure to radian measure.

36 degrees 30\'

36degrees30\' radians?(round to nearest thousandth)

Solution

36 degrees 30 minutes to radians

first convert minutes to degrees

30 minutes = 1/2 degrees

therefore , we have

36.5 degrees

to convert degree to radians we multiply by pi/ 180

therefore , 36.5 degrees = 36.5*pi/180 = .637 radians