Minutes of Arc to Radians Converter
Convert minutes of arc (′) to radians (rad), with the formula, a conversion table and exact factors.
Change the values and press Calculate to work out your own figures.
Enter an angle, choose its unit and the unit you want. The answer is exact until it is shown, and the same value appears in every other unit.
Show the working
- 1 ′ = 0.000290888208666 rad
- 1 × 0.000290888208666 = 0.000290888208666 rad
How to convert minutes of arc to radians
1 ′ = 0.000290888208666 rad, so multiply by 0.000290888208666 to go from minutes of arc to radians. Going the other way, 1 rad = 3,437.74677078 ′.
rad = ′ × 0.000290888208666 ′ = rad × 3,437.74677078
Worked example:
1 ′ = 0.000290888208666 rad 5 × 0.000290888208666 = 0.00145444104333 rad
Minutes of Arc to radians table
| Minutes of Arc | Radians |
|---|---|
| 1 ′ | 0.000290888208666 rad |
| 2 ′ | 0.000581776417331 rad |
| 3 ′ | 0.000872664625997 rad |
| 4 ′ | 0.00116355283466 rad |
| 5 ′ | 0.00145444104333 rad |
| 6 ′ | 0.00174532925199 rad |
| 7 ′ | 0.00203621746066 rad |
| 8 ′ | 0.00232710566933 rad |
| 9 ′ | 0.00261799387799 rad |
| 10 ′ | 0.00290888208666 rad |
| 15 ′ | 0.00436332312999 rad |
| 20 ′ | 0.00581776417331 rad |
| 25 ′ | 0.00727220521664 rad |
| 30 ′ | 0.00872664625997 rad |
| 40 ′ | 0.0116355283466 rad |
| 50 ′ | 0.0145444104333 rad |
| 75 ′ | 0.0218166156499 rad |
| 100 ′ | 0.0290888208666 rad |
| 250 ′ | 0.0727220521664 rad |
| 500 ′ | 0.145444104333 rad |
| 1000 ′ | 0.290888208666 rad |
About the units
- Minutes of Arc (′)
- Minutes of arc, a metric unit. Involves π, which no fraction equals exactly; this converter uses π to 50 significant digits, far beyond the 12 digits shown. Definition: BIPM SI Brochure, 9th edition (SI units, prefixes and units accepted for use with the SI).
- Radians (rad)
- Radians, a metric unit. Definition: BIPM SI Brochure, 9th edition (SI units, prefixes and units accepted for use with the SI).