12 Arc Seconds to Radians

12" ≈ 5.8178e-5 rad

Calculation: rad = 12" × 4.84814 × 10⁻⁶ ≈ 5.8178e-5 rad

Arc Second to Radian Converter

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Sig. Figures:

How wide is 12"?

12 arc second (0.003 degrees) is comparable to the precision of a telescope crosshair, an almost imperceptible angle.

What does 12" look like?

Illustration of a telescope crosshair reticle
12 arc second (0.003 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: 12" × 4.84814 × 10-6 = 5.8178 × 10-5 rad

Reverse Conversion

To convert radians back to arc seconds:

  • Remember, 1 radian equals 206265 arc seconds.
  • To convert 5.8178 × 10-5 rad to", multiply 5.8178 × 10-5 x 206265, resulting in 12".

12 " is also equal to:

  • 0.0033333 degree
  • 0.0037037 gradian

Frequently Asked Questions

How much is 12 arc seconds in radians?

12 arc seconds equals 5.8178 × 10⁻⁵ radians. This is calculated by multiplying 12 by the conversion factor 4.84814 × 10⁻⁶.

What does 12 arc seconds look like in radians?

12 arc seconds equals 5.8178 × 10⁻⁵ radians, a conversion used in navigation, trigonometry, and engineering design.

How do you calculate 12 arc seconds to radians?

Multiply 12 by the conversion factor 4.84814 × 10⁻⁶. The calculation is 12 × 4.84814 × 10⁻⁶ = 5.8178 × 10⁻⁵ radians. This factor is defined by international measurement standards.

Share This Calculation

12 arc seconds = 5.81776 × 10⁻⁵ radians
12 arc seconds = 5.81776 × 10⁻⁵ radians — conversion chart

Nearby Conversions

2 arc seconds9.696 × 10⁻⁶ radians 3 arc seconds1.454 × 10⁻⁵ radians 4 arc seconds1.939 × 10⁻⁵ radians 5 arc seconds2.424 × 10⁻⁵ radians 6 arc seconds2.909 × 10⁻⁵ radians 7 arc seconds3.394 × 10⁻⁵ radians 8 arc seconds3.879 × 10⁻⁵ radians 9 arc seconds4.363 × 10⁻⁵ radians 10 arc seconds4.848 × 10⁻⁵ radians 11 arc seconds5.333 × 10⁻⁵ radians 13 arc seconds6.303 × 10⁻⁵ radians 14 arc seconds6.787 × 10⁻⁵ radians 15 arc seconds7.272 × 10⁻⁵ radians 16 arc seconds7.757 × 10⁻⁵ radians 17 arc seconds8.242 × 10⁻⁵ radians 18 arc seconds8.727 × 10⁻⁵ radians 19 arc seconds9.211 × 10⁻⁵ radians 20 arc seconds9.696 × 10⁻⁵ radians 21 arc seconds0.0001018 radians 22 arc seconds0.0001067 radians

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
Adilson Fernandes By Adilson Fernandes
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.