Angle measure converter
Conversion of 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'.
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Formulas for angle conversion
\(\displaystyle 1 \space degree = 60\space arcminutes =3600\space arcseconds \)
\(\displaystyle degree = radians \frac{180}{π} = gradient\frac{90}{100} \)
\(\displaystyle radians = degree\frac{π}{180} = gradient\frac{π}{200} \)
\(\displaystyle mil = Grad \frac{3200}{180} = gradient ·16 \)
Example decimal to degrees conversion
\(\displaystyle deg_{dec} = 45.515 \)
\(\displaystyle deg = int(deg_{dec}) \)\(\displaystyle = int(45.515)= 45 \)
\(\displaystyle min_{dec} = (deg_{dec} - deg) ·60 \)\(\displaystyle = (45.515 -45)·60= 30.9 \)
\(\displaystyle min=int(min_{dec})\)\(\displaystyle = int(30.9) = 30 \)
\(\displaystyle sec = (min_{dec} - min) · 60\)\(\displaystyle = (30.9-30)·60= 54 \)
Result = 45° 30' 54''
Other units of measure converter
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Angle units of measurement
Angle decimal to degrees and minutes
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