| gradian | 1 grad | 2 grad | 3 grad | 4 grad | 5 grad | 6 grad | 7 grad | 8 grad | 9 grad | 10 grad | 11 grad | 12 grad | 13 grad | 14 grad | 15 grad | 16 grad | 17 grad | 18 grad | 19 grad | 20 grad | 21 grad | 22 grad | 23 grad | 24 grad | 25 grad | 26 grad | 27 grad | 28 grad | 29 grad | 30 grad | 31 grad | 32 grad | 33 grad | 34 grad | 35 grad | 36 grad | 37 grad | 38 grad | 39 grad | 40 grad | 41 grad | 42 grad | 43 grad | 44 grad | 45 grad | 46 grad | 47 grad | 48 grad | 49 grad | 50 grad | 51 grad | 52 grad | 53 grad | 54 grad | 55 grad | 56 grad | 57 grad | 58 grad | 59 grad | 60 grad | 61 grad | 62 grad | 63 grad | 64 grad | 65 grad | 66 grad | 67 grad | 68 grad | 69 grad | 70 grad | 71 grad | 72 grad | 73 grad | 74 grad | 75 grad | 76 grad | 77 grad | 78 grad | 79 grad | 80 grad | 81 grad | 82 grad | 83 grad | 84 grad | 85 grad | 86 grad | 87 grad | 88 grad | 89 grad | 90 grad | 91 grad | 92 grad | 93 grad | 94 grad | 95 grad | 96 grad | 97 grad | 98 grad | 99 grad | 100 grad |
| radian | 0.0157080 rad | 0.0314159 rad | 0.0471239 rad | 0.0628319 rad | 0.0785398 rad | 0.0942478 rad | 0.1099557 rad | 0.1256637 rad | 0.1413717 rad | 0.1570796 rad | 0.1727876 rad | 0.1884956 rad | 0.2042035 rad | 0.2199115 rad | 0.2356194 rad | 0.2513274 rad | 0.2670354 rad | 0.2827433 rad | 0.2984513 rad | 0.3141593 rad | 0.3298672 rad | 0.3455752 rad | 0.3612831 rad | 0.3769911 rad | 0.3926991 rad | 0.4084070 rad | 0.4241150 rad | 0.4398230 rad | 0.4555309 rad | 0.4712389 rad | 0.4869469 rad | 0.5026548 rad | 0.5183628 rad | 0.5340707 rad | 0.5497787 rad | 0.5654867 rad | 0.5811946 rad | 0.5969026 rad | 0.6126106 rad | 0.6283185 rad | 0.6440265 rad | 0.6597344 rad | 0.6754424 rad | 0.6911504 rad | 0.7068583 rad | 0.7225663 rad | 0.7382743 rad | 0.7539822 rad | 0.7696902 rad | 0.7853982 rad | 0.8011061 rad | 0.8168141 rad | 0.8325220 rad | 0.8482300 rad | 0.8639380 rad | 0.8796459 rad | 0.8953539 rad | 0.9110619 rad | 0.9267698 rad | 0.9424778 rad | 0.9581857 rad | 0.9738937 rad | 0.9896017 rad | 1.0053096 rad | 1.0210176 rad | 1.0367256 rad | 1.0524335 rad | 1.0681415 rad | 1.0838494 rad | 1.0995574 rad | 1.1152654 rad | 1.1309733 rad | 1.1466813 rad | 1.1623893 rad | 1.1780972 rad | 1.1938052 rad | 1.2095132 rad | 1.2252211 rad | 1.2409291 rad | 1.2566370 rad | 1.2723450 rad | 1.2880530 rad | 1.3037609 rad | 1.3194689 rad | 1.3351769 rad | 1.3508848 rad | 1.3665928 rad | 1.3823007 rad | 1.3980087 rad | 1.4137167 rad | 1.4294246 rad | 1.4451326 rad | 1.4608406 rad | 1.4765485 rad | 1.4922565 rad | 1.5079644 rad | 1.5236724 rad | 1.5393804 rad | 1.5550883 rad | 1.5707963 rad |
The gradian is a unit of measurement of an angle, equivalent to 1/400 of a turn, 9/10 of a degree, or π/200 of a radian.
| Name of unit | Symbol | Definition | Relation to SI units | Unit System |
|---|---|---|---|---|
| gradian | grad | ≡ 1⁄400 of a revolution ≡ π⁄200 rad ≡ 0.9° | ≈ 15.707963×10−3 rad | Metric system SI |
| gradians | radians | gradians | radians |
|---|---|---|---|
| 1 | ≈ 0.015707963 | 6 | ≈ 0.094247778 |
| 2 | ≈ 0.031415926 | 7 | ≈ 0.109955741 |
| 3 | ≈ 0.047123889 | 8 | ≈ 0.125663704 |
| 4 | ≈ 0.062831852 | 9 | ≈ 0.141371667 |
| 5 | ≈ 0.078539815 | 10 | ≈ 0.15707963 |
The radian is the standard unit of angular measure, used in many areas of mathematics. The length of an arc of a unit circle is numerically equal to the measurement in radians of the angle that it subtends; one radian is just under 57.3 degrees.
| Name of unit | Symbol | Definition | Relation to SI units | Unit System |
|---|---|---|---|---|
| radian | rad | The angle subtended at the center of a circle by an arc whose length is equal to the circle's radius. One full revolution encompasses 2π radians. | = 1 rad | Metric system SI |
| radians | gradians | radians | gradians |
|---|---|---|---|
| 1 | ≈ 63.661978322714 | 6 | ≈ 381.97186993629 |
| 2 | ≈ 127.32395664543 | 7 | ≈ 445.633848259 |
| 3 | ≈ 190.98593496814 | 8 | ≈ 509.29582658172 |
| 4 | ≈ 254.64791329086 | 9 | ≈ 572.95780490443 |
| 5 | ≈ 318.30989161357 | 10 | ≈ 636.61978322714 |
| gradians | radians |
|---|---|
| 1 | ≈ 0.0157080 |
| 63.6619783 | ≈ 1 |
You can find the conversion in other languages in the following:
| Symbol | Definition |
|---|---|
| ≡ | exactly equal |
| ≈ | approximately equal to |
| = | equal to |
| digits | indicates that digits repeat infinitely (e.g. 8.294 369 corresponds to 8.294 369 369 369 369 …) |