an exact angle measure without approximating to a decimal value is given below.
Explanation:
Since an angle of 2 has degree measure 360° it follows that an angle of 1 radian has degree measure (180/ )°. Likewise, an angle of size 1° has radian measure /180. We now can easily obtain a formula to convert from degrees to radians and vice-versa. To convert from degrees to radians, multiply the angle by /180.
convert decimal degrees to DMS :
- For the degrees use the whole number part of the decimal.
- For the minutes multiply the remaining decimal by 60. Use the whole number part of the answer as minutes.
- For the seconds multiply the new remaining decimal by 60.