Degree to Arcsecond Converter

Result

3,600
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Conversion Formula

Factor

1 =3,600 1\ \mathrm{^{\circ}} = 3,600\ \mathrm{\prime\prime}

Formula

=×3,600\mathrm{\prime\prime} = \mathrm{^{\circ}} \times 3,600

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
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Conversion Examples

Convert 1 Degree to Arcsecond

  1. Conversion Factor: 1 ° = 3,600
  2. Conversion Formula: ″ = ° × 3,600
  3. Calculation: 1 ° × 3,600 = 3,600

Convert 10 Degree to Arcsecond

  1. Conversion Factor: 1 ° = 3,600
  2. Conversion Formula: ″ = ° × 3,600
  3. Calculation: 10 ° × 3,600 = 36,000

Convert 100 Degree to Arcsecond

  1. Conversion Factor: 1 ° = 3,600
  2. Conversion Formula: ″ = ° × 3,600
  3. Calculation: 100 ° × 3,600 = 360,000

Convert 1,000 Degree to Arcsecond

  1. Conversion Factor: 1 ° = 3,600
  2. Conversion Formula: ″ = ° × 3,600
  3. Calculation: 1,000 ° × 3,600 = 3.6e+6
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