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Degrees to Arcseconds Converter

To convert degrees to arcseconds, use arcsec = deg × 3,600. This Degrees to Arcseconds page gives a calculator, formula, table, and worked example for deg to arcsec. It also explains the degree to arcsecond relationship so you can convert degrees to arcseconds quickly and check the result.

Use this page to convert degrees to arcseconds, compare deg to arcsec, and check the degree to arcsecond conversion with a formula, examples, and a reference table.

Convert degrees to arcseconds

Result: 1 Degree = 3,600 Arcsecond

Explain this result

The calculator converts 1 Degree to Arcsecond and formats the result as 3,600 Arcsecond.

  1. 1 Degree x 0.0174532925 = 0.0174532925 Radian.
  2. 0.0174532925 Radian / 0.0000048481 = 3,600 Arcsecond.
  3. The direct relationship is 1 Degree = 3,600 Arcsecond.

Formula

1 deg = 3,600 arcsec

Degrees to Arcseconds Formula

arcsec = deg × 3,600
deg = arcsec ÷ 3600
1 deg = 3,600 arcsec
1 arcsec = 0.0002777778 deg

Degrees to Arcseconds Example

Example: convert 1 degrees to arcseconds

Formula: arcsec = deg × 3,600

Calculation: 1 × 3,600 = 3,600 -> 1 degrees = 3,600 arcseconds

Result: 1 degrees = 3,600 arcseconds

Degrees to Arcseconds Conversion Table

Degrees (deg)Arcseconds (arcsec)
0.01 deg36 arcsec
0.1 deg360 arcsec
1 deg3,600 arcsec
2 deg7,200 arcsec
5 deg18,000 arcsec
10 deg36,000 arcsec
12 deg43,200 arcsec
15 deg54,000 arcsec
45 deg162,000 arcsec
90 deg324,000 arcsec

When this angle conversion is useful

  • Switching between degrees and radians for math, spreadsheets, and code.
  • Checking navigation, surveying, graphics, machining, and geometry references.
  • Converting small angular units such as arc minutes and arc seconds when supported.

Rounding angle results

  • Keep more digits when small angular changes affect distance or alignment.
  • Radians often involve pi, so decimal approximations can accumulate error.
  • Use the source convention for surveying, navigation, or coordinate work.

Angle conversion mistakes

  • Entering degrees into a function that expects radians.
  • Reading arc minutes or arc seconds as time units.
  • Rounding small angles too much before using trigonometric functions.

What is a degree?

The symbol for degree is deg.

A degree is an angle unit based on dividing a full circle into 360 equal parts.

It is used for geometry, navigation, maps, surveying, compass headings, graphics, and everyday angle measurements.

1 degree equals pi divided by 180 radians, and 360 degrees make a full circle.

What is an arcsecond?

The symbol for arcsecond is arcsec.

arcsecond is a angle unit supported by this converter. The symbol for arcsecond is arcsec.

Arcseconds are used when comparing angle values in calculators, reference tables, and technical notes.

This page uses the angle conversion factor stored for arcsecond to keep results consistent across the calculator and table.

Degrees to Arcseconds FAQ

How do you convert degree to arcsecond?

To convert degrees to arcseconds, use arcsec = deg × 3,600. This is the main deg to arcsec formula used by the calculator and table.

What is 1 degree in arcsecond?

1 deg equals 3,600 arcsec.

How many degrees are in 1 arcsecond?

1 arcsec equals 0.0002777778 deg.

What does deg to arcsec mean?

deg to arcsec is the abbreviated form of degree to arcsecond. It uses deg for degree and arcsec for arcsecond.

More angle conversions

Reverse conversion

  • arcseconds to degrees

Convert degrees to other units

  • degrees to radians
  • degrees to gradians
  • degrees to arcminutes

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