Final answer:
To convert degrees to milligradians (mils), multiply the degree value by the conversion factor of 2000π milliradians / 1 rotation. In this case, 360 degrees is equivalent to 720000π milliradians, or approximately 360,000 mils.
Step-by-step explanation:
To convert degrees to milligradians (mils), we need to know the conversion factor between the two units.
Since one full rotation in degrees is equal to 2π radians, and there are 1000 milliradians in one radian, we can calculate the conversion factor as:
Conversion factor = (2π radians / 1 rotation) * (1000 milliradians / 1 radian) = 2000π milliradians / 1 rotation.
Therefore, to convert 360 degrees to milligradians (mils), we multiply by the conversion factor:
360 degrees * 2000π milliradians / 1 rotation = 720000π milliradians / 1 rotation.
So, the answer is approximately 720000π mils, which is equivalent to option d) 360,000 mils.