Find the radian measures corresponding to the 5º37'30"

To convert degrees, minutes, and seconds to radians, you need to follow these steps:

1. Convert everything to degrees:

   • 5 degrees is already in degrees.
   • 37 minutes is 37/60 = 0.6167 degrees.
   • 30 seconds is 30/3600 = 0.0083 degrees.
   • Add these together to get the total in degrees: 5 + 0.6167 + 0.0083 = 5.625 degrees.

2. Convert degrees to radians:

   • The formula to convert degrees to radians is rad = deg * (π/180).
   • So, 5.625 degrees = 5.625 * (π/180) = 0.09817477042 radians.

So, the radian measure corresponding to 5º37'30" is approximately 0.098 radians.