arcminutes to arcseconds | Exact Decimal + Formula
1 Arcminute = 60 Arcsecond
One arcminute equals exactly 60 arcseconds — a fixed ratio you can memorize. Real-world use: astronomy (apparent sizes), optics, and navigation. This page expresses those values in arcseconds, which is used for astronomical measurements of star positions and telescope resolution. Type a value above for an instant answer; the exact formula and the reference table are below.
About Arcminute and Arcsecond
Arcminute (arcmin)
An arcminute is 1/60 of a degree.
Where it's used: Astronomy (apparent sizes), optics, and navigation.
Arcsecond (arcsec)
An arcsecond is 1/3,600 of a degree.
Where it's used: Astronomical measurements of star positions and telescope resolution.
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Formula
arcsec = arcmin × 60
To convert Arcminute to Arcsecond, use the formula displayed above.
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Arcminute to Arcsecond: Quick Reference Table
| Arcminute | Arcsecond (Decimal) | Fraction |
|---|---|---|
| 0.001 arcmin | 0.06 arcsec | - |
| 0.01 arcmin | 0.6 arcsec | - |
| 0.1 arcmin | 6 arcsec | - |
| 0.5 arcmin | 30 arcsec | - |
| 1 arcmin | 60 arcsec | - |
| 2 arcmin | 120 arcsec | - |
| 5 arcmin | 300 arcsec | - |
| 10 arcmin | 600 arcsec | - |
| 25 arcmin | 1500 arcsec | - |
| 50 arcmin | 3000 arcsec | - |
| 100 arcmin | 6000 arcsec | - |
| 250 arcmin | 15000 arcsec | - |
| 500 arcmin | 30000 arcsec | - |
| 1000 arcmin | 60000 arcsec | - |
arcmin to arcsec Formula and Examples
Direct Formula
arcsec = arcmin × 60 Inverse Formula
arcmin = arcsec × 0.016667 Mental Math Shortcut
Multiply the value by roughly 60 to calculate the equivalent amount in your head.
Common Arcminute to Arcsecond Calculations
- 5 arcmin = 300 arcsec
- 10 arcmin = 600 arcsec
- 50 arcmin = 3000 arcsec
- 100 arcmin = 6000 arcsec
- 500 arcmin = 30000 arcsec
Precision & Practical Use
For example, 10 arcmin = 600 arcsec — 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 Arcminute to Arcsecond
How many arcseconds are in one arcminute?
One Arcminute (arcmin) equals 60 Arcsecond (arcsec). To convert arcminutes to arcseconds, multiply the arcminute value by 60.
How do I convert Arcminute to Arcsecond?
Multiply your arcminute value by 60 to get the result in Arcsecond: arcsec = arcmin × 60. For example, 5 arcmin = 300 arcsec.
What is the formula for converting arcmin to arcsec?
The conversion formula is arcsec = 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 arcmin to arcsec?
Multiply the value by roughly 60 to calculate the equivalent amount in your head.
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