UnitChart

Convert arcseconds to radians

arcseconds to radians. Enter a value to convert, or use the arcseconds to radians chart further down the page.

1 ″ = 0.00000484814 rad

1 arcsecond equals 0.00000484814 radians. Going the other way, 1 radian = 206,265 arcseconds.

Check this before you rely on it. This converter is provided free and without warranty, and its results are not professional advice.

How to convert arcseconds to radians

To convert arcseconds to radians, multiply the arcsecond value by 0.000004848136811. You can also divide by 206264.8062 to get the same answer.

rad = ″ × 0.000004848136811

Worked example

Convert 45 ″ to radians:

45 ″ = 0.000218166 rad

arcseconds to radians conversion chart

Use this arcseconds to radians table for quick reference without typing anything.

arcseconds to radians conversion table
arcseconds (″)radians (rad)
1 ″0.00000484814 rad
5 ″0.0000242407 rad
10 ″0.0000484814 rad
15 ″0.0000727221 rad
30 ″0.000145444 rad
45 ″0.000218166 rad
60 ″0.000290888 rad
90 ″0.000436332 rad
180 ″0.000872665 rad
270 ″0.001309 rad
360 ″0.00174533 rad

What is a arcsecond?

An arcsecond is one sixtieth of an arcminute, or 1/3600 of a degree. Telescope resolution and stellar parallax are quoted in arcseconds.

What is a radian?

A radian is the angle subtended by an arc equal in length to the radius. A full turn is 2π radians, so 1 rad ≈ 57.2958°.

Frequently asked questions

How many radians are in a arcsecond?

1 arcseconds equals 0.00000484814 radians. Going the other way, 1 radians is 206,265 arcseconds.

How do you convert arcseconds to radians?

To convert arcseconds to radians, multiply the arcsecond value by 0.000004848136811. You can also divide by 206264.8062 to get the same answer.

What is 10 arcseconds in radians?

10 arcseconds equals 0.0000484814 radians. The conversion chart on this page lists the other values people look up most often.

Related angle conversions

Convert arcseconds to other units

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