Arcminutes (′) to Radians (rad) Conversion
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.
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 (′) | Radians (rad) |
|---|---|
| 0.1 ′ | 2.9088820867154E-5 rad |
| 1 ′ | 0.00029088820867154 rad |
| 2 ′ | 0.00058177641734308 rad |
| 3 ′ | 0.00087266462601462 rad |
| 5 ′ | 0.0014544410433577 rad |
| 10 ′ | 0.0029088820867154 rad |
| 20 ′ | 0.0058177641734308 rad |
| 30 ′ | 0.0087266462601462 rad |
| 50 ′ | 0.014544410433577 rad |
| 100 ′ | 0.029088820867154 rad |
| 1000 ′ | 0.29088820867154 rad |
Convert Arcminutes (′) to other units of Angle
| ‣ Arcminutes (′) to degrees (°) |
| ‣ Arcminutes (′) to radians (rad) |
| ‣ Arcminutes (′) to gradians (gon) |
| ‣ Arcminutes (′) to arcseconds (″) |
| ‣ Arcminutes (′) to revolutions (rev) |