Angle converter
Converting gradians to radians is a small, specific task, but getting it wrong by even a rounding error can throw off a recipe, a shipping quote, a construction cut list, or a homework answer. This page runs a live Gradians to Radians converter — type a number in grad and get the exact rad equivalent instantly, calculated with the standard conversion factor rather than an approximation. One grad equals 0.01570796 rad, and the calculator below scales that ratio to any amount you enter.
To convert a value from gradians to radians, multiply the number of grad by 0.01570796. That figure comes from expressing both units against the same reference — in this case, angle are compared through a common angle base unit — so the ratio holds no matter how large or small the input is.
Common grad amounts and their rad equivalents, rounded to six decimal places for accuracy:
Angle conversions come up constantly outside of a classroom. Recipes written for a US audience use units while international ones use metric measurements; travel and navigation mix miles, kilometers, and nautical units depending on the country and mode of transport; and technical fields like engineering, medicine, and manufacturing often require converting between systems to match a spec sheet, a prescription, or a purchase order.
Manual conversion is where mistakes creep in — misplacing a decimal, using an outdated or rounded factor, or mixing up which unit is larger. Because this converter applies the exact multiplier every time, the result for gradians to radians is consistent whether you're converting a single small number or a large batch of values one at a time.
1 grad equals 0.01570796 rad. Multiply any grad value by this factor to get rad.
It uses the standard defined conversion factor for gradians and radians, so results are precise to the rounding shown, not a rough estimate.
Yes — use the swap control in the calculator to reverse the direction and convert radians into gradians instead.
No. The calculation runs locally in your browser using JavaScript, so nothing you type is sent anywhere.
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| Gradians | Radians |
|---|---|
| 1 grad | 0.015708 rad |
| 5 grad | 0.07854 rad |
| 10 grad | 0.15708 rad |
| 25 grad | 0.392699 rad |
| 50 grad | 0.785398 rad |
| 100 grad | 1.570796 rad |
| 500 grad | 7.853982 rad |
| 1000 grad | 15.707963 rad |