1 rad = 63.662 grad (radian → gradian)
1 rad = 63.662 grad
1 radian equals 63.662 gradians. To convert radians to gradians, multiply the radian value by 63.662. For quick reference: 1 rad = 63.662 grad, 5 rad = 318.31 grad, 10 rad = 636.62 grad, 100 rad = 6366.2 grad.
Gradians = Radians × 63.662Start with your value in radians.
Multiply the radian value by 63.662. This is the exact conversion factor from radians to gradians.
The product is your value in gradians. For example, 5 rad × 63.662 = 318.31 grad.
The exact factor from radians to gradians is 63.662.
Gradians = Radians × 63.662
Fifty common reference values, hand-picked for skim utility. Use the calculator above for any value not listed.
| Radians (rad) | Gradians (grad) |
|---|---|
| 0.1 rad | 6.3662 grad |
| 0.25 rad | 15.915 grad |
| 0.5 rad | 31.831 grad |
| 1 rad | 63.662 grad |
| 2 rad | 127.32 grad |
| 3 rad | 190.99 grad |
| 4 rad | 254.65 grad |
| 5 rad | 318.31 grad |
| 6 rad | 381.97 grad |
| 7 rad | 445.63 grad |
| 8 rad | 509.3 grad |
| 9 rad | 572.96 grad |
| 10 rad | 636.62 grad |
| 11 rad | 700.28 grad |
| 12 rad | 763.94 grad |
| 13 rad | 827.61 grad |
| 14 rad | 891.27 grad |
| 15 rad | 954.93 grad |
| 16 rad | 1018.6 grad |
| 18 rad | 1145.9 grad |
| 20 rad | 1273.2 grad |
| 22 rad | 1400.6 grad |
| 24 rad | 1527.9 grad |
| 25 rad | 1591.5 grad |
| 28 rad | 1782.5 grad |
| 30 rad | 1909.9 grad |
| 32 rad | 2037.2 grad |
| 36 rad | 2291.8 grad |
| 40 rad | 2546.5 grad |
| 45 rad | 2864.8 grad |
| 48 rad | 3055.8 grad |
| 50 rad | 3183.1 grad |
| 60 rad | 3819.7 grad |
| 70 rad | 4456.3 grad |
| 75 rad | 4774.6 grad |
| 80 rad | 5093 grad |
| 90 rad | 5729.6 grad |
| 100 rad | 6366.2 grad |
| 125 rad | 7957.7 grad |
| 150 rad | 9549.3 grad |
| 200 rad | 12732 grad |
| 250 rad | 15915 grad |
| 300 rad | 19099 grad |
| 400 rad | 25465 grad |
| 500 rad | 31831 grad |
| 600 rad | 38197 grad |
| 750 rad | 47746 grad |
| 800 rad | 50930 grad |
| 900 rad | 57296 grad |
| 1000 rad | 63662 grad |
A right angle is π/2 radians, about 1.5708 rad. A full circle is 2π radians, about 6.2832 rad. In gradians, that gives you: 1 rad = 63.662 grad, 10 rad = 636.62 grad, 100 rad = 6366.2 grad.
The radian (rad) is the SI unit of angle, defined as the angle subtended at the center of a circle by an arc equal in length to the radius. One full turn equals exactly 2π radians (≈6.2832 rad). It is the standard unit in mathematics, physics, and engineering calculations.
The gradian (grad), also called the gon, divides a full rotation into 400 equal parts, making a right angle exactly 100 gradians. It was introduced with the metric system for surveying and civil engineering, where its decimal relationship to a right angle simplifies calculations.
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