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Enter arcminutes or arcseconds into the calculator to convert to the other value, with optional degree, radian, and milliarcsecond units.
Common Mistakes Quick tips
- Entering values in both fields. Fill exactly one: either arcminutes or arcseconds.
- Confusing angle arcseconds (โณ) with time seconds (s); they are different quantities.
- Mixing degrees, radians, arcminutes, and arcseconds without proper factors: 1ยฐ = 60โฒ = 3600โณ; 1 rad โ 206,264.806โณ.
- Forgetting that 1 mas = 0.001โณ when working with very small angles.
- Rounding too early when dealing with tiny anglesโkeep sufficient precision.
When to Use This Calculator
- Astronomy: converting image scale, seeing, or telescope resolution between arcmin/arcsec.
- Optics and photogrammetry: field-of-view and angular resolution calculations.
- Mapping/geodesy: translating DMS components to smaller units.
- Quick checks when switching among degrees, arcminutes, arcseconds, radians, and milliarcseconds.
Input Definitions
- Arcminute (โฒ) โ 1/60 of a degree.
- Arcsecond (โณ) โ 1/60 of an arcminute = 1/3600 of a degree.
- Degree (ยฐ) โ 360ยฐ per full turn; 1ยฐ = 60โฒ = 3600โณ.
- Radian (rad) โ 2ฯ rad per full turn; 1 rad โ 206,264.806โณ.
- Milliarcsecond (mas) โ 0.001โณ.
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Arcmin to Arcsec Formula
The following formulas convert arcminutes to arcseconds and back, with core relations useful for angle conversions.
\mathrm{arcsec} = 60\,\mathrm{arcmin}\quad\quad \mathrm{arcmin} = \frac{\mathrm{arcsec}}{60}- 1 degree (ยฐ) = 60 arcminutes (โฒ) = 3600 arcseconds (โณ).
- 1 radian (rad) โ 206,264.806247 arcseconds; 1 milliarcsecond (mas) = 0.001 arcsecond.
How do you convert arcminutes to arcseconds? Multiply arcminutes by 60 to get arcseconds.
How do you convert arcseconds to arcminutes? Divide arcseconds by 60 to get arcminutes.
Arcmin to Arcsec Conversion Table
| Arcminutes (โฒ) | Arcseconds (โณ) |
|---|---|
| 1/60 | 1.000 |
| 1/30 | 2.000 |
| 1/20 | 3.000 |
| 1/12 | 5.000 |
| 1/10 | 6.000 |
| 1/6 | 10.000 |
| ยผ | 15.000 |
| โ | 20.000 |
| โ | 22.500 |
| ยฝ | 30.000 |
| โ | 37.500 |
| โ | 40.000 |
| ยพ | 45.000 |
| โ | 52.500 |
| 1 | 60.000 |
| 1ยผ | 75.000 |
| 1ยฝ | 90.000 |
| 1ยพ | 105.000 |
| 2 | 120.000 |
| 2ยฝ | 150.000 |
| * 1 arcminute = 60 arcseconds; 1 degree = 60 arcminutes = 3600 arcseconds. | |
Example Problem
Convert 2.5 arcminutes to arcseconds.
Use the formula: arcsec = arcmin ร 60.
arcsec = 2.5 ร 60 = 150 arcsec
