How Many Arcseconds in a Degree?
Quick Answer
There are 3,600 arcseconds in one degree.
1° = 60′ = 3,600″
Understanding the Conversion
One degree contains 60 arcminutes × 60 arcseconds = 3,600 arcseconds. This sexagesimal (base-60) division system dates to Babylonian mathematics. Geographic coordinates expressed in degrees, minutes, seconds (DMS) use this hierarchy.
Formula
1° = 60′ = 3,600″
Common Examples
| Description | Value |
|---|---|
| New York latitude: 40° 42′ 46″ N | 40.713° = 146,568 arcseconds |
| One arcsecond on Earth's surface | ≈30 meters |
| Full circle in arcseconds | 1,296,000 arcseconds |
Quick Reference Table
Use this table for quick conversions between degree and arcseconds:
| degree | arcseconds |
|---|---|
| 1 | 3,600 |
| 2 | 7,200 |
| 5 | 18,000 |
| 10 | 36,000 |
| 25 | 90,000 |
| 50 | 180,000 |
| 100 | 360,000 |
Frequently Asked Questions
How Many Arcseconds in a Degree?
There are 3,600 arcseconds in one degree. One degree contains 60 arcminutes × 60 arcseconds = 3,600 arcseconds. This sexagesimal (base-60) division system dates to Babylonian mathematics. Geographic coordinates expressed in degrees, minutes, seconds (DMS) use this hierarchy.
What is the formula to convert degree to arcseconds?
The formula is: 1° = 60′ = 3,600″. To convert, multiply the number of degrees by 3,600 to get the equivalent in arcseconds.
How do I convert arcseconds to degree?
To convert arcseconds to degree, divide the number of arcseconds by 3,600. For example, 18,000 arcseconds equals 5 degrees.