an exact angle measure without approximating to a decimal value is given below.
Step-by-step 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.
