
To convert degrees, minutes, and seconds to radians, we need to use the following conversion factors:
1 degree = π/180 radians 1 minute = 1/60 degree 1 second = 1/60 minute
Let's perform the conversion step by step:
Convert minutes to degrees: 2 minutes = 2/60 degrees
Convert seconds to degrees: 30 seconds = 30/3600 degrees
Now, add up the degrees, minutes, and seconds:
3 degrees + 2/60 degrees + 30/3600 degrees = 3.0417 degrees
Now, convert degrees to radians using the conversion factor:
3.0417 degrees × (π/180 radians/degree) = 0.0531 radians
So, 3 degrees 2 minutes 30 seconds is approximately equal to 0.0531 radians.