1 Arc Minute to Radians

1' ≈ 0.00029089 rad

Calculation: rad = 1' × 0.000290888 ≈ 0.00029089 rad

Arc Minute to Radian Converter

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Sig. Figures:

How wide is 1'?

1 arc minute (0.017 degrees) is comparable to the precision of a telescope crosshair, an almost imperceptible angle.

What does 1' look like?

Illustration of a telescope crosshair reticle
1 arc minute (0.017 degrees) is comparable to the precision of a telescope crosshair, an almost imperceptible angle.

How to Convert Arc Minute to Radian

1 arc minute = 0.000290888 radians

Radian = Arc Minute × 0.000290888

Example: 1' × 0.000290888 = 0.00029089 rad

Reverse Conversion

To convert radians back to arc minutes:

  • Remember, 1 radian equals 3437.75 arc minutes.
  • To convert 0.00029089 rad to', multiply 0.00029089 x 3437.75, resulting in 1'.

1 ' is also equal to:

  • 0.016667 degree
  • 0.018519 gradian

Frequently Asked Questions

How much is 1 arc minute in radians?

1 arc minute equals 0.00029089 radians. This is calculated by multiplying 1 by the conversion factor 0.000290888.

What does 1 arc minute look like in radians?

1 arc minute equals 0.00029089 radians, a conversion used in navigation, trigonometry, and engineering design.

How do you calculate 1 arc minute to radians?

Multiply 1 by the conversion factor 0.000290888. The calculation is 1 × 0.000290888 = 0.00029089 radians. This factor is defined by international measurement standards.

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1 arc minute = 0.000290888 radians
1 arc minute = 0.000290888 radians — conversion chart

For general conversions between arc minutes and radians, see the arc minutes 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.