Degrees to Minutes Converter

How to use the degrees to minutes calculator

What this calculator does

This calculator converts a plane angle between decimal degrees and minutes of arc, also called arcminutes. The relationship is exact: one degree contains 60 arcminutes, so the conversion does not depend on location, scale, or a physical measurement. The tool is useful for changing notation, checking coordinate work, preparing astronomy or surveying calculations, and translating specifications that use different angular units. It does not convert minutes of time, estimate a surface distance from an angle, or determine a geographic position by itself.

When to use it

Use it when a map or coordinate list gives an angle in decimal degrees but another system expects arcminutes; when an optical, astronomical, or surveying specification uses small angular measurements; when checking hand calculations; or when preparing a clean workbook that records both forms of the same angle. NOAA explains that latitude and longitude can be written in degrees, minutes, and seconds, which is a common practical setting for this conversion.

How to calculate

1. The calculator opens with a ready demonstration: 12.5 degrees, equal to 750 arcminutes. The Excel download is already available for this example.
2. Replace the value in Angle in degrees to convert degrees to arcminutes. The arcminute field, result cards, reference table, and workbook source update immediately.
3. Alternatively, replace the value in Angle in arcminutes to work in reverse. The calculator divides by 60 and updates the degree field.
4. Read Converted angle for the main result, then use the supporting values to see decimal degrees and a whole-degree-plus-remaining-minutes decomposition.
5. Select Download Excel to create a validated OOXML workbook containing the current inputs, outputs, formulas, and scaled reference rows.
6. Select Reset to clear both input fields and all calculated content. Reset does not restore the demonstration. Excel export remains unavailable until you enter a complete valid value again.

Input guide

Angle in degrees is a required finite decimal number expressed in degrees. It accepts ordinary U.S.-style decimal notation such as 12.5, 0, or -7.25; commas, scientific notation, and unit symbols inside the field are rejected to avoid ambiguity. Positive and negative values are supported because angular direction or rotation can be signed. Increasing this input increases the arcminute result by 60 arcminutes for each additional degree. A common mistake is to enter degrees-and-minutes notation such as 12:30; enter 12.5 instead.

Angle in arcminutes is the reverse required input, also a finite decimal number. A realistic example is 750. Editing it divides the value by 60 to produce decimal degrees. Do not confuse an arcminute with a minute of time: both use the word “minute,” but this calculator handles plane angle only. The BIPM and NIST recognize the degree and minute symbols for plane angle; NIST's SI style guidance for degree and minute symbols shows the conventional notation.

Output guide

Converted angle is the primary conversion result in the unit opposite the field you last edited. Decimal degrees shows the canonical angle in degrees, while Arcminutes shows the exact equivalent multiplied by 60. Whole degrees truncates the magnitude toward zero to identify the degree component, and Remaining minutes shows the signed fractional remainder expressed in arcminutes. A zero result means a zero angle; a negative result preserves the input direction. These are exact unit identities subject only to displayed decimal rounding.

The Equivalent-angle reference table lists one quarter, one half, the full entered angle, and double the angle. Its Degrees and Arcminutes columns are driven by the same canonical model as the result cards. The table helps spot scaling errors: every arcminute value should always be exactly 60 times its degree value.

Worked example

Learn more

The BIPM SI Brochure documents the accepted symbols for degree, minute, and second of plane angle. For geographic context, NOAA's explanations of latitude measured in degrees, minutes, and seconds and longitude notation and spacing show where these angular units appear in real coordinate work.