Arcminutes to Radians Converter

Convert angle measurements from arcminutes (') to radians (rad). One arcminute equals 1/60 of a degree.

arcminutes (')
Result
0 rad

Common Arcminutes to Radians Conversions

Arcminutes (')Radians (rad)
1'0.000290888 rad
10'0.00290888 rad
30'0.00872665 rad
60' (1°)0.0174533 rad
90'0.0261799 rad
180' (3°)0.0523599 rad
360' (6°)0.104720 rad
5400' (90°)π/2 (1.5708) rad

How to Convert Arcminutes to Radians

An arcminute (also known as minute of arc or MOA) is 1/60 of a degree. To convert arcminutes to radians, you multiply by π/10800 (since there are 10,800 arcminutes in π radians).

The Conversion Formula

radians = arcminutes × (π / 10800)

This can also be written as: radians = arcminutes × 0.000290888

Understanding the Conversion

The conversion factor comes from: 1 arcminute = 1/60 degree, and 1 degree = π/180 radians. Therefore: 1 arcminute = (1/60) × (π/180) = π/10800 radians ≈ 0.000290888 radians.

Example: Converting 60 Arcminutes to Radians

radians = 60' × (π / 10800) = 60' × 0.000290888 = 0.0174533 rad

Note: 60 arcminutes = 1 degree = π/180 radians

Applications of Arcminutes

Arcminutes are commonly used in:

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