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arcsecond [arcsec] to degree [deg] Converter

Quick Reference

1 arcsecond (arcsec) = 0.0002777777778 degree (deg)

1 degree (deg) = 3600 arcsecond (arcsec)

How to Convert arcsecond to degree

1 arcsec = 0.0002777777777777778 deg
1 deg = 3600 arcsec

To convert arcsecond to degree, divide the value by 3600 (equivalently, multiply by 0.0002777777778). To convert degree back to arcsecond, multiply by 3600.

Example: convert 10 arcsec to deg:
10 arcsec = 10 x 0.0002777777777777778 = 0.002777777777777778 deg

↔ Convert degree to arcsecond

arcsecond

Definition: An arcsecond (symbol: '') is a unit of angular measure equal to 1/60 of an arcminute or 1/3600 of a degree. It is used to express very small angles, particularly in astronomy and surveying.

History/origin: Like the arcminute, the arcsecond originates from the Babylonian sexagesimal system.

Current use: Arcseconds are used in astronomy for high-precision measurements of stellar positions, parallaxes, and proper motions. They are also used in surveying and geodesy for precise angle determination.

degree

Definition: A degree (symbol: Β°) is a unit of angular measure, representing 1/360 of a full rotation. It is a common unit for measuring angles, particularly in geometry and navigation.

History/origin: The division of a circle into 360 degrees is attributed to the ancient Babylonians, who used a base-60 (sexagesimal) numeral system. They may have chosen 360 because it is close to the number of days in a year.

Current use: Degrees are widely used in everyday contexts for measuring angles, such as in maps, compasses, and architectural drawings. They are also commonly used in mathematics and science, although radians are preferred in many theoretical contexts.

arcsecond to degree Conversion Table

arcsecond [arcsec]degree [deg]
1 arcsec0.0002777777777777778 deg
2 arcsec0.0005555555555555556 deg
5 arcsec0.001388888888888889 deg
10 arcsec0.002777777777777778 deg
20 arcsec0.005555555555555556 deg
50 arcsec0.013888888888888888 deg
100 arcsec0.027777777777777776 deg
200 arcsec0.05555555555555555 deg
500 arcsec0.1388888888888889 deg
1000 arcsec0.2777777777777778 deg

Common pairs of Angle

radian

radian to degreeradian to gradianradian to arcminuteradian to arcsecond

degree

degree to radiandegree to gradiandegree to arcminutedegree to arcsecond

gradian

gradian to radiangradian to degreegradian to arcminutegradian to arcsecond

arcminute

arcminute to radianarcminute to degreearcminute to gradianarcminute to arcsecond

arcsecond

arcsecond to radianarcsecond to degreearcsecond to gradianarcsecond to arcminute

arcsecond [arcsec] to degree [deg] Converter

To convert arcsecond to degree, enter your value in the arcsec field above and the result in deg will appear instantly. You can also use the conversion factor shown in the table on this page to calculate manually. The formula is always the same: multiply your arcsec value by the fixed conversion ratio to get the equivalent in deg.
Our arcsecond to degree converter uses standardized conversion factors defined by international scientific and metrological organizations. All calculations are performed with full floating-point precision. You can also choose how many decimal places to display in the result, so you get exactly the level of detail you need.
Yes, absolutely. Simply swap the source and destination units in the converter β€” select deg as your input unit and arcsec as your output unit. The same precision and standardized conversion factor applies in both directions.
Converting between arcsecond and degree comes up regularly in engineering, scientific research, construction, and everyday tasks that involve measurements from different unit systems. Our converter eliminates the risk of manual calculation errors and saves time whenever you need to switch between these two units.
Yes, the arcsecond to degree converter is completely free. No account or registration is required, and there are no usage limits. It works on any device β€” smartphones, tablets, and desktop computers β€” directly in your browser.
arcsecond and degree are both units used to measure the same physical quantity, but they belong to different measurement systems or represent different scales. The mathematical relationship between them is fixed and constant, which is what makes accurate conversion possible. Scroll up to see the exact conversion factor, formula, and a reference table for common values.