Decimal degrees into degrees, minutes and seconds

This calculator can be used to convert various decimal units of measurement for angles into degrees, minutes and seconds. Select the unit of measurement that you know and enter its value. Then click on 'Calculate'.

Winkel Rechner

Enter the unit of measure and the angle

Results

Degree °

Arc minutes '

Arc seconds "

Formulas for angle conversion

\(\displaystyle 1 \space degree = 60\space arcminutes =3600\space arcseconds \)

\(\displaystyle degree = radians \frac{180}{π} = gradient\frac{90}{100} \)

\(\displaystyle radians = degree\frac{π}{180} = gradient\frac{π}{200} \)

\(\displaystyle mil = Grad \frac{3200}{180} = gradient ·16 \)

Convert decimal degrees to degrees, minutes and seconds

\(\displaystyle deg_{dec} = 45.515 \)

\(\displaystyle deg = int(deg_{dec}) \)

\(\displaystyle = int(45.515)= 45 \)

\(\displaystyle min_{dec} = (deg_{dec} - deg) ·60 \)

\(\displaystyle = (45.515 -45)·60= 30.9 \)

\(\displaystyle min=int(min_{dec})\)

\(\displaystyle = int(30.9) = 30 \)

\(\displaystyle sec = (min_{dec} - min) · 60\)

\(\displaystyle = (30.9-30)·60= 54 \)

Result = 45° 30' 54''

Angle measure converter

Angle calculator

Winkel Rechner

Formulas for angle conversion

Convert decimal degrees to degrees, minutes and seconds

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