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Arcseconds to Degrees Converter

To convert arcseconds to degrees, use deg = arcsec ÷ 3600. This Arcseconds to Degrees page gives a calculator, formula, table, and worked example for arcsec to deg. It also explains the arcsecond to degree relationship so you can convert arcseconds to degrees quickly and check the result.

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

Convert arcseconds to degrees

Result: 1 Arcsecond = 0.0002777778 Degree

Explain this result

The calculator converts 1 Arcsecond to Degree and formats the result as 0.0002777778 Degree.

  1. 1 Arcsecond x 0.0000048481 = 0.0000048481 Radian.
  2. 0.0000048481 Radian / 0.0174532925 = 0.0002777778 Degree.
  3. The direct relationship is 1 Arcsecond = 0.0002777778 Degree.

Formula

1 arcsec = 0.0002777778 deg

Arcseconds to Degrees Formula

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

Arcseconds to Degrees Example

Example: convert 1 arcseconds to degrees

Formula: deg = arcsec ÷ 3600

Calculation: 1 ÷ 3600 = 0.0002777778 -> 1 arcseconds = 0.0002777778 degrees

Result: 1 arcseconds = 0.0002777778 degrees

Arcseconds to Degrees Conversion Table

Arcseconds (arcsec)Degrees (deg)
0.01 arcsec0.0000027778 deg
0.1 arcsec0.0000277778 deg
1 arcsec0.0002777778 deg
2 arcsec0.0005555556 deg
5 arcsec0.0013888889 deg
10 arcsec0.0027777778 deg
12 arcsec0.0033333333 deg
60 arcsec0.0166666667 deg
100 arcsec0.0277777778 deg
1000 arcsec0.2777777778 deg

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 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.

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.

Arcseconds to Degrees FAQ

How do you convert arcsecond to degree?

To convert arcseconds to degrees, use deg = arcsec ÷ 3600. This is the main arcsec to deg formula used by the calculator and table.

What is 1 arcsecond in degree?

1 arcsec equals 0.0002777778 deg.

How many arcseconds are in 1 degree?

1 deg equals 3,600 arcsec.

What does arcsec to deg mean?

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

More angle conversions

Reverse conversion

  • degrees to arcseconds

Convert other units to degrees

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

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