Minute of Arc to Degree Converter
Convert Minute of Arc to Degree — free, instant, accurate. Part of Angle converters.
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Minute of Arc to Degree: values and formula
1 Minute of Arc = 0.0166667 Degree, and 1 Degree = 59.99988 Minute of Arc. To convert a angle value from Minute of Arc to Degree, multiply it by 0.0166667. For example, 10 Minute of Arc equals 0.166667 Degree, and 250 Minute of Arc equals 4.166675 Degree.
| Minute of Arc | Degree |
|---|---|
| 1 Minute of Arc | 0.0166667 Degree |
| 2 Minute of Arc | 0.0333334 Degree |
| 5 Minute of Arc | 0.0833335 Degree |
| 10 Minute of Arc | 0.166667 Degree |
| 25 Minute of Arc | 0.4166675 Degree |
| 50 Minute of Arc | 0.833335 Degree |
| 100 Minute of Arc | 1.66667 Degree |
| 500 Minute of Arc | 8.33335 Degree |
| 1000 Minute of Arc | 16.6667 Degree |
When to use the Minute of Arc to Degree converter
- Mathematics and trigonometry — switching between degrees and radians.
- Surveying — using gradians for slope and bearing.
- Astronomy — measuring small angles in arcminutes and arcseconds.
- Navigation — reading bearings in degrees.
A short history of angle units
Angles were originally divided into 360 degrees by Babylonian astronomers using their base-60 number system. The radian, defined as the angle subtended by an arc equal to the radius, emerged in mathematical analysis in the 18th century. The gradian (or gon) divides a quarter circle into 100 parts and survives in surveying.
Common mistakes when converting angle
Calculator mode
Setting the calculator to the wrong mode (DEG vs RAD) is the most common source of trig errors.
Arcminute vs minute
1 arcminute is 1/60 of a degree (an angle), not a unit of time.
Gradian misuse
90° equals 100 gradians, not 90 or 360. Surveyors use it because right angles are round numbers.
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