# Converting degrees to radians and vice versa

Converts degrees, minutes and seconds to radians and radians to degrees, minutes and seconds

### This page exists due to the efforts of the following people:

#### Michele

Created: 2008-09-17 20:39:43, Last updated: 2021-09-30 12:24:00

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First, degrees are converted to decimal degrees -
Decimal Degrees = Degrees + (Minutes + Seconds/60)/60.
Then, decimal degrees are converted to radians -
Radians = Decimal Degrees * Pi/180.
If we are talking about Earth coordinates, we also have to consider a sign. For North latitude and East longitude, it is a plus, for South latitude and West longitude, it is a minus.

Digits after the decimal point: 4
Decimal degrees

To convert radians back to degrees, divide 180 by Pi and multiply the result value by radians number. You'll get a real number, which in the integer part is a number of degrees. To get the minutes, you'll need to multiply the fraction by 60 and get the integer. The last operation fraction multiplied by 60 and rounded to the nearest integer is the seconds. Note: you may get 60 as a rounding result; in this case, you assume the number of seconds = 0 and increment minutes part (which again may become equal to 60). The following calculator does this simple math for you:

#### Radians to degrees minutes seconds

Digits after the decimal point: 3
Degrees

Minutes

Seconds

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PLANETCALC, Converting degrees to radians and vice versa