degrees to arcminutes | Exact Decimal + Formula
1 Degree = 60 Arcminute
One degree equals exactly 60 arcminutes — a fixed ratio you can memorize. Real-world use: geometry, navigation, roof pitches, and everyday angle measurement. This page expresses those values in arcminutes, which is used for astronomy (apparent sizes), optics, and navigation. Use the calculator above, then check the reference table for common values from 0.001 to 1000.
About Degree and Arcminute
Degree (°)
A degree is 1/360 of a full rotation.
Where it's used: Geometry, navigation, roof pitches, and everyday angle measurement.
Arcminute (arcmin)
An arcminute is 1/60 of a degree.
Where it's used: Astronomy (apparent sizes), optics, and navigation.
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Formula
arcmin = ° × 60
To convert Degree to Arcminute, use the formula displayed above.
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Degree to Arcminute: Quick Reference Table
| Degree | Arcminute (Decimal) | Fraction |
|---|---|---|
| 0.001 ° | 0.06 arcmin | - |
| 0.01 ° | 0.6 arcmin | - |
| 0.1 ° | 6 arcmin | - |
| 0.5 ° | 30 arcmin | - |
| 1 ° | 60 arcmin | - |
| 2 ° | 120 arcmin | - |
| 5 ° | 300 arcmin | - |
| 10 ° | 600 arcmin | - |
| 25 ° | 1500 arcmin | - |
| 50 ° | 3000 arcmin | - |
| 100 ° | 6000 arcmin | - |
| 250 ° | 15000 arcmin | - |
| 500 ° | 30000 arcmin | - |
| 1000 ° | 60000 arcmin | - |
° to arcmin Formula and Examples
Direct Formula
arcmin = ° × 60 Inverse Formula
° = arcmin × 0.016667 Mental Math Shortcut
Multiply the value by roughly 60 to calculate the equivalent amount in your head.
Common Degree to Arcminute Calculations
- 5 ° = 300 arcmin
- 10 ° = 600 arcmin
- 50 ° = 3000 arcmin
- 100 ° = 6000 arcmin
- 500 ° = 30000 arcmin
Precision & Practical Use
For example, 10 ° = 600 arcmin — roughly multiple unit increments.
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 Degree to Arcminute
How many arcminutes are in one degree?
One Degree (°) equals 60 Arcminute (arcmin). To convert degrees to arcminutes, multiply the degree value by 60.
How do I convert Degree to Arcminute?
Multiply your degree value by 60 to get the result in Arcminute: arcmin = ° × 60. For example, 5 ° = 300 arcmin.
What is the formula for converting ° to arcmin?
The conversion formula is arcmin = ° × 60. 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 ° to arcmin?
Multiply the value by roughly 60 to calculate the equivalent amount in your head.
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