Convert Circles to Radians
Learn How to Convert Circles to Radians Using our Conversion Formula
Converting a circle angle measurement to a radian measurement involves multiplying your angle by the conversion ratio to find the result. A circle is equal to 6.283185 radians, so to convert simply multiply by 6.283185.
For example, 5cir = (5 × 6.283185) = 31.415927rad.
Circles and radians are both units used to measure angle. Learn more about angle and find more angle measurement conversion calculators. A circle is an angle measurement and can be abbreviated as cir, for example 1cir. A radian is an angle measurement and can be abbreviated as rad, for example 1rad.
A radian is the measurement of the angle from the start to the end of an arc equal to the radius of the circle. 1 radian is equal to 180/π, or about 57.29578°. There are about 6.28318 radians in a circle. The radian is the standard SI unit of measurement for an angle.
A circle is the equivalent of 1 revolution around a circle, or 360°.
More Angle Conversions
- Convert to Degrees Angle
- 1cir is equal to 360 degrees
- Convert to Grad Angle
- 1cir is equal to 400 grad
- Convert to Revolutions Angle
- 1cir is equal to 1 revolutions
- Convert to Mils Angle
- 1cir is equal to 6,400 mils
Circle Measurements and Equivalent Radian Conversions
| Circles | Radians | Circles | Radians | Circles | Radians |
|---|---|---|---|---|---|
| 1 | 6.2832 | 21 | 131.95 | 41 | 257.61 |
| 2 | 12.57 | 22 | 138.23 | 42 | 263.89 |
| 3 | 18.85 | 23 | 144.51 | 43 | 270.18 |
| 4 | 25.13 | 24 | 150.8 | 44 | 276.46 |
| 5 | 31.42 | 25 | 157.08 | 45 | 282.74 |
| 6 | 37.7 | 26 | 163.36 | 46 | 289.03 |
| 7 | 43.98 | 27 | 169.65 | 47 | 295.31 |
| 8 | 50.27 | 28 | 175.93 | 48 | 301.59 |
| 9 | 56.55 | 29 | 182.21 | 49 | 307.88 |
| 10 | 62.83 | 30 | 188.5 | 50 | 314.16 |
| 11 | 69.12 | 31 | 194.78 | 51 | 320.44 |
| 12 | 75.4 | 32 | 201.06 | 52 | 326.73 |
| 13 | 81.68 | 33 | 207.35 | 53 | 333.01 |
| 14 | 87.96 | 34 | 213.63 | 54 | 339.29 |
| 15 | 94.25 | 35 | 219.91 | 55 | 345.58 |
| 16 | 100.53 | 36 | 226.19 | 56 | 351.86 |
| 17 | 106.81 | 37 | 232.48 | 57 | 358.14 |
| 18 | 113.1 | 38 | 238.76 | 58 | 364.42 |
| 19 | 119.38 | 39 | 245.04 | 59 | 370.71 |
| 20 | 125.66 | 40 | 251.33 | 60 | 376.99 |
