Degrees to Seconds Converter
Convert degrees to arcseconds and other angular measurements
Convert Degrees and Arcseconds
Range: -360° to 360°
1 arcsecond = 1/3600 degree
Conversion Results
Conversion Formulas
Degrees to Arcseconds: arcseconds = degrees × 3600
Arcseconds to Degrees: degrees = arcseconds ÷ 3600
*1 degree = 60 arcminutes = 3,600 arcseconds
Example Calculations
Example 1: 30 Degrees
30 degrees × 3600 = 108,000 arcseconds
This is commonly used in astronomical measurements
Example 2: 1 Degree
1 degree × 3600 = 3,600 arcseconds
The fundamental relationship between degrees and arcseconds
Example 3: Small Angle
0.001 degrees × 3600 = 3.6 arcseconds
Useful for high-precision measurements in optics
Common Degrees to Arcseconds Conversions
| Degrees | Arcseconds | Description |
|---|---|---|
| 0.0003° | 1" | 1 arcsecond |
| 0.0167° | 60" | 1 arcminute |
| 0.25° | 900" | 15 arcminutes |
| 1° | 3,600" | 1 degree |
| 5° | 18,000" | 5 degrees |
| 15° | 54,000" | 15 degrees |
| 30° | 1,08,000" | 30 degrees |
| 45° | 1,62,000" | 45 degrees |
| 90° | 3,24,000" | Right angle |
| 180° | 6,48,000" | Straight angle |
| 270° | 9,72,000" | 3/4 circle |
| 360° | 12,96,000" | Full circle |
Angular Units Hierarchy
Degree (°)
1/360 of a full circle
Arcminute (')
1/60 of a degree
Arcsecond (")
1/60 of an arcminute
Key Relationship
1° = 3,600"
Quick Facts
1 degree = 3,600 arcseconds
1 arcsecond ≈ 0.0002778 degrees
Used in astronomy and optics
Human eye resolution ≈ 60 arcseconds
Full circle = 1,296,000 arcseconds
Understanding Degrees to Arcseconds Conversion
What is an Arcsecond?
An arcsecond (symbol: ″) is a unit of angular measurement equal to 1/3600 of one degree. It's the smallest commonly used angular unit and is essential for high-precision measurements in astronomy, surveying, and optical systems.
Conversion Formulas
- •Degrees to Arcseconds: multiply by 3600
- •Arcseconds to Degrees: divide by 3600
Example Calculation
Convert 30 degrees to arcseconds:
30° × 3600 = 108,000 arcseconds
Practical Applications
- 1Astronomy: measuring star positions and planetary movements
- 2Surveying: high-precision land and construction measurements
- 3Optics: telescope resolution and optical system alignment
- 4Navigation: GPS and satellite positioning systems
Real-World References
Human eye limit: About 60 arcseconds
Hubble telescope: 0.1 arcsecond resolution
Angular size of Earth: From Moon ≈ 7,200"
Parallax measurements: Often in milliarcseconds