Convert Arcminutes to Arcseconds
Instantly convert Arcminutes (′) to Arcseconds (″) with our free online calculator.
Formula: ′ to ″ — multiply by 60
Reference Table
| Arcminutes (′) | Arcseconds (″) |
|---|---|
| 1 | 60 |
| 5 | 300 |
| 10 | 600 |
| 25 | 1500 |
| 50 | 3000 |
| 100 | 6000 |
How to Convert Arcminutes to Arcseconds
Formula
To convert Arcminutes (′) to Arcseconds (″): multiply by 60
Step-by-Step
- Start with your value in Arcminutes (′).
- Multiply by 60 to perform the conversion.
- The result is your value expressed in Arcseconds (″).
Conversion Factor
1 ′ = 60 ″
Reverse Factor
1 ″ = 0.0166667 ′
Worked Example
Convert 25 Arcminutes to Arcseconds: 25 ′ = 1500 ″
About Arcminute (′)
A unit of plane angle equal to exactly 1/60 of a degree (= π/10,800 rad ≈ 2.909 × 10⁻⁴ rad). Arcminutes are the standard sub-degree unit in observational astronomy (the angular diameter of Jupiter from Earth ranges 30-50 arcmin depending on orbit position; the Moon and Sun are both ~30 arcmin = 0.5° across), optometry and ophthalmology (visual acuity per Snellen test: 20/20 vision corresponds to resolving a black bar with a 1-arcmin gap at 20 feet — the universally-used definition of 'normal' visual acuity), surveying and geodesy (USGS topographic-map quad sheets are 7.5 arcmin × 7.5 arcmin), and aviation/maritime navigation. The arcminute has a direct distance interpretation in navigation: one arcminute of latitude along any meridian equals exactly one international nautical mile (1,852 m by the 1929 IHB definition) — the historic basis for both units. Symbol ′ (prime); not to be confused with the foot-symbol ′.
About Arcsecond (″)
A unit of plane angle equal to exactly 1/3600 of a degree (= 1/60 of an arcminute = π/648,000 rad ≈ 4.848 × 10⁻⁶ rad). Arcseconds are the working unit of modern observational astronomy: stellar parallax (the parsec — fundamental astronomical distance unit — is defined as the distance at which one astronomical unit subtends one arcsecond), telescope angular resolution (Hubble Space Telescope ~0.05 arcsec; the Extremely Large Telescope under construction ~0.005 arcsec diffraction-limited; the Event Horizon Telescope reached ~20 microarcseconds to image M87* and Sgr A* black-hole shadows), and astrometric catalogs (Gaia DR3 reports positions and proper motions in microarcseconds for ~1.8 billion stars). Geodetic GPS and high-precision surveying also specify coordinate accuracy in arcseconds, where sub-arcsecond resolution corresponds to centimeter-level positioning on Earth (1 arcsec of latitude ≈ 31 m at the equator). Symbol ″ (double prime); not to be confused with the inch-symbol ″.
Quick Facts
- 1 Arcminute equals 60 Arcseconds
- 1 Arcsecond equals 0.0166667 Arcminutes
- Arcminute is a unit of angle
- Arcsecond is a unit of angle
- This conversion is commonly used in surveying, navigation, trigonometry, and mechanical design
Common Arcminute to Arcsecond Conversions
| Arcminutes (′) | Arcseconds (″) |
|---|---|
| 0.01 | 0.6 |
| 0.1 | 6 |
| 0.25 | 15 |
| 0.5 | 30 |
| 1 | 60 |
| 2 | 120 |
| 3 | 180 |
| 5 | 300 |
| 10 | 600 |
| 15 | 900 |
| 20 | 1200 |
| 25 | 1500 |
| 50 | 3000 |
| 75 | 4500 |
| 100 | 6000 |
| 250 | 15000 |
| 500 | 30000 |
| 1000 | 60000 |
| 5000 | 300000 |
| 10000 | 600000 |
Understanding Arcminutes
The Arcminute (symbol: ′) is a unit of angle. A unit of plane angle equal to exactly 1/60 of a degree (= π/10,800 rad ≈ 2.909 × 10⁻⁴ rad). Arcminutes are the standard sub-degree unit in observational astronomy (the angular diameter of Jupiter from Earth ranges 30-50 arcmin depending on orbit position; the Moon and Sun are both ~30 arcmin = 0.5° across), optometry and ophthalmology (visual acuity per Snellen test: 20/20 vision corresponds to resolving a black bar with a 1-arcmin gap at 20 feet — the universally-used definition of 'normal' visual acuity), surveying and geodesy (USGS topographic-map quad sheets are 7.5 arcmin × 7.5 arcmin), and aviation/maritime navigation. The arcminute has a direct distance interpretation in navigation: one arcminute of latitude along any meridian equals exactly one international nautical mile (1,852 m by the 1929 IHB definition) — the historic basis for both units. Symbol ′ (prime); not to be confused with the foot-symbol ′.
Arcminutes are commonly used in surveying, navigation, trigonometry, and mechanical design.
Understanding Arcseconds
The Arcsecond (symbol: ″) is a unit of angle. A unit of plane angle equal to exactly 1/3600 of a degree (= 1/60 of an arcminute = π/648,000 rad ≈ 4.848 × 10⁻⁶ rad). Arcseconds are the working unit of modern observational astronomy: stellar parallax (the parsec — fundamental astronomical distance unit — is defined as the distance at which one astronomical unit subtends one arcsecond), telescope angular resolution (Hubble Space Telescope ~0.05 arcsec; the Extremely Large Telescope under construction ~0.005 arcsec diffraction-limited; the Event Horizon Telescope reached ~20 microarcseconds to image M87* and Sgr A* black-hole shadows), and astrometric catalogs (Gaia DR3 reports positions and proper motions in microarcseconds for ~1.8 billion stars). Geodetic GPS and high-precision surveying also specify coordinate accuracy in arcseconds, where sub-arcsecond resolution corresponds to centimeter-level positioning on Earth (1 arcsec of latitude ≈ 31 m at the equator). Symbol ″ (double prime); not to be confused with the inch-symbol ″.
Arcseconds are commonly used in surveying, navigation, trigonometry, and mechanical design.
Why Convert Arcminutes to Arcseconds?
Converting between Arcminutes and Arcseconds is a frequent requirement for engineers, scientists, and students working with angle values. Different industries and regions favour different unit systems, so having a dependable conversion tool saves time and prevents errors in technical calculations. Whether you are verifying a specification sheet, cross-checking simulation results, or preparing a report for an international audience, accurate angle conversion is essential.
Frequently Asked Questions
How do I convert Arcminutes to Arcseconds?
A unit of plane angle equal to exactly 1/60 of a degree (= π/10,800 rad ≈ 2. To convert Arcminutes to Arcseconds, multiply by 60. For example, 25 ′ equals 1500 ″.
How many Arcseconds are in 1 Arcminute?
There are 60 Arcseconds in 1 Arcminute.
How many Arcminutes are in 1 Arcsecond?
There are 0.0166667 Arcminutes in 1 Arcsecond.
What is the formula for Arcminute to Arcsecond conversion?
The formula is: multiply by 60. This means 1 ′ = 60 ″.
Is a Arcminute bigger than a Arcsecond?
No. One Arcminute is smaller than one Arcsecond because 1 ′ equals 60 ″, which is greater than 1.
When do you need to convert between Arcminutes and Arcseconds?
A unit of plane angle equal to exactly 1/3600 of a degree (= 1/60 of an arcminute = π/648,000 rad ≈ 4. Arcminute and Arcsecond are both angle units, so conversion comes up whenever one source of information uses one unit and another uses the other — a classic cross-reference challenge in engineering, trade, travel, and everyday life.