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📏 Arcseconds to Radians Converter

Convert arcseconds (″) to radians (rad) instantly, with the formula, a worked example and a conversion table.

Quick answer: 1 arcsecond (″) = 0.0000048481 radians (rad). Formula: rad = ″ × 0.0000048481.

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Arcseconds to Radians Converter inputs

Result

1 ″ =

0.0000048481 rad

rad = ″ × 0.0000048481

1 arcsecond = 0.0000048481 rad · rad to ″

Arcseconds to Radians conversion table

Arcseconds (″)Radians (rad)
0.1 ″4.848137e-7 rad
0.5 ″0.0000024241 rad
1 ″0.0000048481 rad
2 ″0.0000096963 rad
3 ″0.0000145444 rad
5 ″0.0000242407 rad
10 ″0.0000484814 rad
20 ″0.0000969627 rad
25 ″0.0001212034 rad
50 ″0.0002424068 rad
100 ″0.0004848137 rad
1,000 ″0.0048481368 rad

Other angle conversions

″ to °″ to rad″ to gon″ to ′″ to rev

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How to convert arcseconds to radians

Multiply the number of arcseconds by 0.0000048481 to get radians: rad = ″ × 0.0000048481.

Example: 5 ″ = 0.0000242407 rad.

The arcsecond (″) and the radian (rad) are both units of angle. Need the opposite direction? Use the rad to ″ converter.

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Metric and imperial units

The metric system (SI) is used by almost every country and by science worldwide. Its units scale by powers of ten – 1 kilometer is 1,000 meters, 1 meter is 100 centimeters – which makes conversions inside the system easy. The imperial and US customary systems (inches, feet, pounds, gallons) are still used daily in the United States and partly in the UK.

Since 1959 the inch has been defined as exactly 2.54 centimeters and the pound as exactly 0.45359237 kilograms, so conversions between the two systems are exact. Note that a US gallon (3.785 L) and an imperial gallon (4.546 L) are different – choose the right one above.

This converter covers 18 categories and 106 units: length, weight, temperature, volume, area, speed, time, data, energy, pressure, power, angle, force, torque, frequency, flow rate, illuminance, density.

Frequently asked questions

How many radians are in a arcsecond?

1 arcsecond = 0.0000048481 radians.

How do I convert arcseconds to radians?

Use the formula rad = ″ × 0.0000048481. For example, 5 ″ = 0.0000242407 rad.

How do I convert radians back to arcseconds?

1 radian = 206,264.81 arcseconds. Use the rad to ″ converter linked on this page.

Are these conversions exact?

Yes – all factors use the internationally defined values (for example 1 inch = 2.54 cm exactly, 1 pound = 0.45359237 kg exactly). Results are rounded to 8 significant digits for display.