Radians (rad) to Arcminutes (′) Conversion

Radians

The radian (rad) is the SI derived unit of plane angle, defined as the angle subtended at the centre of a circle by an arc whose length equals the radius. One full rotation equals exactly 2π radians (≈ 6.2832 rad), and one radian equals approximately 57.2958°. The radian is preferred in mathematics and physics because it makes the derivatives of trigonometric functions algebraically clean — d/dx(sin x) = cos x only when x is in radians. Rotational speed (rad/s) and angular frequency in oscillatory systems are always expressed in radians.

Arcminutes

The arcminute (′, Unicode U+2032) is a unit of angle equal to exactly 1/60 of a degree, or π/10,800 radians. It is used in astronomy to describe the apparent size of celestial objects — the full Moon subtends approximately 30 arcminutes (half a degree) as seen from Earth. In navigation, position coordinates are routinely expressed in degrees and arcminutes: 51°30′N is the latitude of London. In optics, the resolving power of the human eye is approximately 1 arcminute, which is why standard vision charts are designed accordingly.

Convert Radians (rad) to other units of Angle