1007 Arc Seconds to Radians

1007" ≈ 0.0048821 rad

Calculation: rad = 1007" × 4.84814 × 10⁻⁶ ≈ 0.0048821 rad

Arc Second to Radian Converter

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Sig. Figures:

How wide is 1,007"?

1,007 arc second (0.28 degrees) is comparable to the precision of a telescope crosshair, an almost imperceptible angle.

What does 1,007" look like?

Illustration of a telescope crosshair reticle
1,007 arc second (0.28 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: 1007" × 4.84814 × 10-6 = 0.0048821 rad

Reverse Conversion

To convert radians back to arc seconds:

  • Remember, 1 radian equals 206265 arc seconds.
  • To convert 0.0048821 rad to", multiply 0.0048821 x 206265, resulting in 1007".

1007 " is also equal to:

  • 0.27972 degree
  • 0.3108 gradian
  • 0.00077701 turn

Frequently Asked Questions

How much is 1007 arc seconds in radians?

1007 arc seconds equals 0.0048821 radians. This is calculated by multiplying 1007 by the conversion factor 4.84814 × 10⁻⁶.

What does 1007 arc seconds look like in radians?

1007 arc seconds equals 0.0048821 radians, a conversion used in navigation, trigonometry, and engineering design.

How do you calculate 1007 arc seconds to radians?

Multiply 1007 by the conversion factor 4.84814 × 10⁻⁶. The calculation is 1007 × 4.84814 × 10⁻⁶ = 0.0048821 radians. This factor is defined by international measurement standards.

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1007 arc seconds = 0.00488207 radians
1007 arc seconds = 0.00488207 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.