360 Arc Seconds to Radians

360" ≈ 0.0017453 rad

Calculation: rad = 360" × 4.84814 × 10⁻⁶ ≈ 0.0017453 rad

Arc Second to Radian Converter

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Sig. Figures:

How wide is 360"?

360 arc second (0.1 degrees) is comparable to the precision of a telescope crosshair, an almost imperceptible angle.

What does 360" look like?

Illustration of a telescope crosshair reticle
360 arc second (0.1 degrees) is comparable to the precision of a telescope crosshair, an almost imperceptible angle.

How to Convert Arc Second to Radian

1 arc second = 4.84814 × 10-6 radians

Radian = Arc Second × 4.84814 × 10-6

Example: 360" × 4.84814 × 10-6 = 0.0017453 rad

Reverse Conversion

To convert radians back to arc seconds:

  • Remember, 1 radian equals 206265 arc seconds.
  • To convert 0.0017453 rad to", multiply 0.0017453 x 206265, resulting in 360".

360 " is also equal to:

  • 0.1 degree
  • 0.11111 gradian
  • 0.00027778 turn

Frequently Asked Questions

How much is 360 arc seconds in radians?

360 arc seconds equals 0.0017453 radians. This is calculated by multiplying 360 by the conversion factor 4.84814 × 10⁻⁶.

What does 360 arc seconds look like in radians?

360 arc seconds equals 0.0017453 radians, a conversion used in navigation, trigonometry, and engineering design.

How do you calculate 360 arc seconds to radians?

Multiply 360 by the conversion factor 4.84814 × 10⁻⁶. The calculation is 360 × 4.84814 × 10⁻⁶ = 0.0017453 radians. This factor is defined by international measurement standards.

Share This Calculation

360 arc seconds = 0.00174533 radians
360 arc seconds = 0.00174533 radians — conversion chart

For general conversions between arc seconds and radians, see the arc seconds to radians converter.

Conversion factors verified against BIPM, ISO 80000-3 1 turn = 2π rad = 360° (exact, ISO 80000-3). Last reviewed: March 2026
Tiago Fernandes Reviewed by Tiago Fernandes

All unit conversions on CoolConversion use conversion factors defined or documented by internationally recognised standards bodies (such as ISO and NIST), including both SI and non-SI units.