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# Angle: Convert Degrees, Minutes, Seconds

Angles are usually measured in degrees. There are two common forms: degrees (°), arc minutes (′) and arc seconds (″), as well as decimal degrees. One degree has 60 arc minutes, one arc minute has 60 arc seconds. An angle can be given like 32° 27′ 40″, or in decimal degrees like 32.4611. Here, both forms can be converted into each other, with ← decimal degrees into degrees, minutes, seconds and with → the other way. Degrees, arc minutes, arc seconds must not be negative, negative decimal degrees will be converted.

degrees, arc minutes, arc seconds ← = → decimal degrees

° = °

## Convert Degrees in Radian in Multiples of π

Convert 180° = 3.141592653589793 = π. Please enter one value (degrees as decimal degrees), the other two will be calculated.

° = = π

Analogous to the units of time, second, minute, hour, sixty arc seconds form an arc minute and sixty arc minutes form a degree. Then the similarity ends, because the full circle does not have 12 or 24 subdivisions, like the clock, but 360 degrees. The use of units based on 60 goes back to the ancient Babylonians. Arc minutes and seconds are still commonly used measurements, even if decimal degrees are often more practical and understandable. In astronomy and geography, both are used in parallel; both sciences work with geocoordinates, even if the name refers to the earth and not the sky. Here you can convert geo coordinates.
The number pi is also suitable for measuring angles, with 2π corresponding to a full circle of 360 degrees, so pi stands for 180 degrees. This angle measurement is called radian from the Latin word for ray, because an angle can be seen as two rays emanating from a point. Naming angles in radians is particularly common in trigonometry.

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