Degree to Arc-second

Free instant degree to arc-second converter. 1 ° = 3600 ″.

3600
Formula
1 ° = 3600 ″

Common Degree to Arc-second values

Common Degree to Arc-second conversion values.
Degree (°)Arc-second ()
00
30108000
45162000
60216000
90324000
180648000
270972000
3601296000

How does Degree to Arc-second conversion work?

Type a value in the Degree (°) field and the equivalent in Arc-second () appears instantly to the right. The math uses the exact formula shown above — no rounding errors, no approximations beyond standard floating-point precision. Use the swap button to flip the units and see the inverse conversion.

Degree. The most common angle unit. A full circle = 360°.

Arc-second. One sixtieth of an arc-minute, or 1/3600 of a degree. Used in astronomy for stellar positions and lens/optics resolution.

⚡ Instant results

No submit button — the result updates as you type. Math runs entirely in your browser, so it’s as fast as your device.

📱 Use on any device

Works in any modern browser — Mac, Windows, Linux, iPhone, Android, tablets. No installation, no signup.

🎯 Accurate conversions

Conversion factors come from the official standard (NIST, BIPM, ISO definitions where applicable). Values are precise to standard floating-point limits.

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Free, every time. No account, no email, no “trial” that becomes paid. Ad-supported so you never have to pay.

Frequently asked

What is the formula for converting Degree to Arc-second?+
The formula is: 1 ° = 3600 ″. Type any value into the calculator above and the result appears instantly.
How do I convert Arc-second back to Degree?+
Click the swap button (⇄) above to go to the Arc-second → Degree converter, or use the inverse formula derived from the one shown.
How accurate is the conversion?+
Conversion factors used here are exact rational values from NIST SP 811 and the BIPM SI brochure (e.g. 1 ft = 0.3048 m exactly, 1 lb = 0.45359237 kg exactly). Trailing-digit differences vs hand calculation come only from binary floating-point representation, never from the conversion factor itself.
Where do these conversion factors come from?+
Length and mass factors come from the 1959 international yard-and-pound agreement; SI base units (metre, kilogram, second, kelvin) come from the 2019 BIPM redefinition; energy and pressure factors are NIST SP 811 reference values. Each editorial section above lists the specific source for that category.
When would I use radians instead of degrees?+
Radians are the natural unit for mathematics — sine, cosine, and most calculus formulas expect radians. Degrees are the everyday unit (you say "turn 90°", not "turn π/2 rad"). Gradians are mostly used in surveying and some European school systems.

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