Arcsecond to Quadrant Converter
Conversion Formula
Unit Description
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.
Quadrant (quad)
Definition
A quadrant is a unit of angular measurement equal to 1/4 of a full rotation, or 90 degrees. It represents one of the four equal sections created when a circle is divided by perpendicular diameters.
History
The quadrant concept dates back to ancient geometry and astronomy, where circles were naturally divided into four equal parts. The term comes from the Latin 'quadrans' meaning 'fourth part'. Quadrants were fundamental in early navigation instruments and astronomical observations.
Current Use
Quadrants are used in coordinate geometry for describing the four sections of the Cartesian plane, in navigation for general directional references, and in some engineering applications. They're also used in describing rotational positions in mechanical systems and in some educational contexts for teaching angle concepts.
Conversion Table
Arcsecond(″) | Quadrant(quad) |
---|---|
1 | 0.00000308642 |
2 | 0.00000617284 |
3 | 0.00000925926 |
4 | 0.0000123457 |
5 | 0.0000154321 |
6 | 0.0000185185 |
7 | 0.0000216049 |
8 | 0.0000246914 |
9 | 0.0000277778 |
10 | 0.0000308642 |
Conversion Examples
Convert 1 Arcsecond to Quadrant
- Conversion Formula: quad = ″ ÷ (90 × 3600)
- Calculation: 1″ ÷ (90 × 3600) = 0.00000308642quad
Convert 10 Arcsecond to Quadrant
- Conversion Formula: quad = ″ ÷ (90 × 3600)
- Calculation: 10″ ÷ (90 × 3600) = 0.0000308642quad
Convert 100 Arcsecond to Quadrant
- Conversion Formula: quad = ″ ÷ (90 × 3600)
- Calculation: 100″ ÷ (90 × 3600) = 0.000308642quad
Convert 1,000 Arcsecond to Quadrant
- Conversion Formula: quad = ″ ÷ (90 × 3600)
- Calculation: 1,000″ ÷ (90 × 3600) = 0.00308642quad