3 Arc Seconds to Radians

3" ≈ 1.4544e-5 rad

Calculation: rad = 3" × 4.84814 × 10⁻⁶ ≈ 1.4544e-5 rad

Arc Second to Radian Converter

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Sig. Figures:

How wide is 3"?

3 arc second (0.001 degrees) is comparable to the precision of a telescope crosshair, an almost imperceptible angle.

What does 3" look like?

Illustration of a telescope crosshair reticle
3 arc second (0.001 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: 3" × 4.84814 × 10-6 = 1.4544 × 10-5 rad

Reverse Conversion

To convert radians back to arc seconds:

  • Remember, 1 radian equals 206265 arc seconds.
  • To convert 1.4544 × 10-5 rad to", multiply 1.4544 × 10-5 x 206265, resulting in 3".

3 " is also equal to:

  • 0.00083333 degree
  • 0.00092593 gradian

Frequently Asked Questions

How much is 3 arc seconds in radians?

3 arc seconds equals 1.4544 × 10⁻⁵ radians. This is calculated by multiplying 3 by the conversion factor 4.84814 × 10⁻⁶.

What does 3 arc seconds look like in radians?

3 arc seconds equals 1.4544 × 10⁻⁵ radians, a conversion used in navigation, trigonometry, and engineering design.

How do you calculate 3 arc seconds to radians?

Multiply 3 by the conversion factor 4.84814 × 10⁻⁶. The calculation is 3 × 4.84814 × 10⁻⁶ = 1.4544 × 10⁻⁵ radians. This factor is defined by international measurement standards.

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3 arc seconds = 1.45444 × 10⁻⁵ radians
3 arc seconds = 1.45444 × 10⁻⁵ radians — conversion chart

Nearby Conversions

1 arc second4.848 × 10⁻⁶ radians 2 arc seconds9.696 × 10⁻⁶ 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 12 arc seconds5.818 × 10⁻⁵ radians 13 arc seconds6.303 × 10⁻⁵ 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.