31 Arc Seconds to Radians

31" ≈ 0.00015029 rad

Calculation: rad = 31" × 4.84814 × 10⁻⁶ ≈ 0.00015029 rad

Arc Second to Radian Converter

Choose the type of measurement to convert
Select the source unit to convert from
Select the target unit to convert to
Enter a numeric value or fraction to convert
Sig. Figures:

How wide is 31"?

31 arc second (0.009 degrees) is comparable to the precision of a telescope crosshair, an almost imperceptible angle.

What does 31" look like?

Illustration of a telescope crosshair reticle
31 arc second (0.009 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: 31" × 4.84814 × 10-6 = 0.00015029 rad

Reverse Conversion

To convert radians back to arc seconds:

  • Remember, 1 radian equals 206265 arc seconds.
  • To convert 0.00015029 rad to", multiply 0.00015029 x 206265, resulting in 31".

31 " is also equal to:

  • 0.0086111 degree
  • 0.0095679 gradian

Frequently Asked Questions

How much is 31 arc seconds in radians?

31 arc seconds equals 0.00015029 radians. This is calculated by multiplying 31 by the conversion factor 4.84814 × 10⁻⁶.

What does 31 arc seconds look like in radians?

31 arc seconds equals 0.00015029 radians, a conversion used in navigation, trigonometry, and engineering design.

How do you calculate 31 arc seconds to radians?

Multiply 31 by the conversion factor 4.84814 × 10⁻⁶. The calculation is 31 × 4.84814 × 10⁻⁶ = 0.00015029 radians. This factor is defined by international measurement standards.

Share This Calculation

31 arc seconds = 0.000150292 radians
31 arc seconds = 0.000150292 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.