Degree to Arcsecond Converter
Conversion Formula
Factor
Formula
Unit Description
Degree (°)
Definition
A degree (°) is a unit of angular measurement equal to 1/360 of a full rotation. It divides a complete circle into 360 equal parts, making it one of the most widely used angle measurements.
History
The degree system originated with ancient Babylonian astronomers around 2000 BCE, who used a base-60 number system and divided the circle into 360 degrees. This choice was influenced by their calendar of approximately 360 days and the convenience of 360 being divisible by many numbers. The system was later adopted by Greek astronomers and has remained standard ever since.
Current Use
Degrees are universally used in navigation, surveying, engineering, architecture, and everyday applications. They're standard for compass bearings, geographic coordinates (latitude/longitude), construction angles, and in most educational contexts. Weather reports, GPS systems, and most angle-measuring tools use degrees.
Arcsecond (″)
Definition
An arcsecond (″) is a unit of angular measurement equal to 1/60 of an arcminute or 1/3600 of a degree. It represents extremely fine angular precision, essential for high-precision measurements.
History
The arcsecond follows from the continued subdivision of the Babylonian system, where arcminutes were further divided into 60 arcseconds. The term comes from 'pars minuta secunda' meaning 'second small part'. This level of precision became crucial with the development of telescopic astronomy in the 17th century.
Current Use
Arcseconds are critical in professional astronomy for measuring stellar positions, parallax, and proper motion. They're used in satellite navigation systems, precision surveying, telescope specifications, and astrometry. The Hubble Space Telescope, for example, has angular resolution measured in arcseconds.
Conversion Table
Degree(°) | Arcsecond(″) |
---|---|
1 | 3,600 |
2 | 7,200 |
3 | 10,800 |
4 | 14,400 |
5 | 18,000 |
6 | 21,600 |
7 | 25,200 |
8 | 28,800 |
9 | 32,400 |
10 | 36,000 |
Conversion Examples
Convert 1 Degree to Arcsecond
- Conversion Factor: 1 ° = 3,600 ″
- Conversion Formula: ″ = ° × 3,600
- Calculation: 1 ° × 3,600 = 3,600 ″
Convert 10 Degree to Arcsecond
- Conversion Factor: 1 ° = 3,600 ″
- Conversion Formula: ″ = ° × 3,600
- Calculation: 10 ° × 3,600 = 36,000 ″
Convert 100 Degree to Arcsecond
- Conversion Factor: 1 ° = 3,600 ″
- Conversion Formula: ″ = ° × 3,600
- Calculation: 100 ° × 3,600 = 360,000 ″
Convert 1,000 Degree to Arcsecond
- Conversion Factor: 1 ° = 3,600 ″
- Conversion Formula: ″ = ° × 3,600
- Calculation: 1,000 ° × 3,600 = 3.6e+6 ″