arcminutes to degrees | Exact Decimal + Formula
1 Arcminute = 0.016667 Degree
One degree equals exactly 60 arcminutes — a fixed ratio you can memorize. Real-world use: astronomy (apparent sizes), optics, and navigation. This page expresses those values in degrees, which is used for geometry, navigation, roof pitches, and everyday angle measurement. Use the calculator above, then check the reference table for common values from 0.001 to 1000.
About Arcminute and Degree
Arcminute (arcmin)
An arcminute is 1/60 of a degree.
Where it's used: Astronomy (apparent sizes), optics, and navigation.
Degree (°)
A degree is 1/360 of a full rotation.
Where it's used: Geometry, navigation, roof pitches, and everyday angle measurement.
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Formula
° = arcmin × 0.016666667
To convert Arcminute to Degree, use the formula displayed above.
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Arcminute to Degree: Quick Reference Table
| Arcminute | Degree (Decimal) | Fraction |
|---|---|---|
| 0.001 arcmin | 0.000017 ° | - |
| 0.01 arcmin | 0.000167 ° | - |
| 0.1 arcmin | 0.001667 ° | - |
| 0.5 arcmin | 0.008333 ° | - |
| 1 arcmin | 0.016667 ° | - |
| 2 arcmin | 0.033333 ° | - |
| 5 arcmin | 0.083333 ° | - |
| 10 arcmin | 0.166667 ° | - |
| 25 arcmin | 0.416667 ° | - |
| 50 arcmin | 0.833333 ° | - |
| 100 arcmin | 1.666667 ° | - |
| 250 arcmin | 4.166667 ° | - |
| 500 arcmin | 8.333333 ° | - |
| 1000 arcmin | 16.666667 ° | - |
arcmin to ° Formula and Examples
Direct Formula
° = arcmin × 0.016666667 Inverse Formula
arcmin = ° × 60 Mental Math Shortcut
Divide the value by roughly 60 to quickly estimate the converted result.
Common Arcminute to Degree Calculations
- 5 arcmin = 0.083333 °
- 10 arcmin = 0.166667 °
- 50 arcmin = 0.833333 °
- 100 arcmin = 1.666667 °
- 500 arcmin = 8.333333 °
Precision & Practical Use
For example, 10 arcmin = 0.166667 ° — roughly fractional unit measurement.
Results are computed to up to 9 decimal places. Round to the precision of your measuring instrument — for most angle applications, 2–3 significant figures are plenty.
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How to Convert Arcminute to Degree
How many degrees are in one arcminute?
One Arcminute (arcmin) equals 0.016667 Degree (°). To convert arcminutes to degrees, multiply the arcminute value by 0.016667.
How do I convert Arcminute to Degree?
Multiply your arcminute value by 0.016667 to get the result in Degree: ° = arcmin × 0.016667. For example, 5 arcmin = 0.083333 °.
What is the formula for converting arcmin to °?
The conversion formula is ° = arcmin × 0.016667. Use the calculator above for any value, and see the reference table below for common inputs from 0.001 to 1000.
Is there a quick mental estimate for arcmin to °?
Divide the value by roughly 60 to quickly estimate the converted result.
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