48 Arc Seconds to Radians

48" ≈ 0.00023271 rad

Calculation: rad = 48" × 4.84814 × 10⁻⁶ ≈ 0.00023271 rad

Arc Second to Radian Converter

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Sig. Figures:

How wide is 48"?

48 arc second (0.013 degrees) is comparable to the precision of a telescope crosshair, an almost imperceptible angle.

What does 48" look like?

Illustration of a telescope crosshair reticle
48 arc second (0.013 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: 48" × 4.84814 × 10-6 = 0.00023271 rad

Reverse Conversion

To convert radians back to arc seconds:

  • Remember, 1 radian equals 206265 arc seconds.
  • To convert 0.00023271 rad to", multiply 0.00023271 x 206265, resulting in 48".

48 " is also equal to:

  • 0.013333 degree
  • 0.014815 gradian

Frequently Asked Questions

How much is 48 arc seconds in radians?

48 arc seconds equals 0.00023271 radians. This is calculated by multiplying 48 by the conversion factor 4.84814 × 10⁻⁶.

What does 48 arc seconds look like in radians?

48 arc seconds equals 0.00023271 radians, a conversion used in navigation, trigonometry, and engineering design.

How do you calculate 48 arc seconds to radians?

Multiply 48 by the conversion factor 4.84814 × 10⁻⁶. The calculation is 48 × 4.84814 × 10⁻⁶ = 0.00023271 radians. This factor is defined by international measurement standards.

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48 arc seconds = 0.000232711 radians
48 arc seconds = 0.000232711 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.