Arcseconds to Radians Converter

Convert angle measurements from arcseconds (") to radians (rad). One arcsecond equals 1/3600 of a degree.

arcseconds (")
Result
0 rad

Common Arcseconds to Radians Conversions

Arcseconds (")Radians (rad)
1"0.00000485 rad
60" (1')0.000290888 rad
3600" (1°)0.0174533 rad
10800" (3°)0.0523599 rad
324000" (90°)π/2 (1.5708) rad
648000" (180°)π (3.14159) rad
1296000" (360°)2π (6.28319) rad

How to Convert Arcseconds to Radians

An arcsecond (also known as second of arc) is 1/3600 of a degree or 1/60 of an arcminute. To convert arcseconds to radians, multiply by π/648000.

The Conversion Formula

radians = arcseconds × (π / 648000)

This can also be written as: radians = arcseconds × 0.0000048481

Understanding the Conversion

The conversion factor comes from: 1 arcsecond = 1/3600 degree, and 1 degree = π/180 radians. Therefore: 1 arcsecond = (1/3600) × (π/180) = π/648000 radians ≈ 0.0000048481 radians.

Example: Converting 3600 Arcseconds to Radians

radians = 3600" × (π / 648000) = 3600" × 0.0000048481 = 0.0174533 rad

Note: 3600 arcseconds = 1 degree = π/180 radians

Applications of Arcseconds

Arcseconds are commonly used in:

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