Radians to Gradians Converter
Quick answer: To convert radians to gradians, multiply by 63.66198. For example, 10 rad is 636.6198 grad. One radian equals 63.66198 grad.
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Use the Radians to Gradians Converter
Radians to Gradians formula and what each symbol means
grad = rad × 63.66198
| Symbol | Meaning |
|---|---|
| rad | Radian |
| grad | Gradian |
Radians to Gradians examples
1 rad
1 rad × 63.66198 = 63.66198 grad.
10 rad
10 rad × 63.66198 = 636.6198 grad.
100 rad
100 rad × 63.66198 = 6,366.198 grad.
Radians compared with Gradians
One rad is 63.66 times as large as one grad, so your number gets bigger when you convert radians to gradians and smaller when you convert back. If the answer is not larger than what you typed, you divided instead of multiplying.
About radians and gradians
Radian (rad): The SI unit of plane angle: the angle subtended by an arc equal to the radius. Gradian (grad): 1/400 of a full turn, also called a gon.
Where radians to gradians conversions are used
Navigation and surveying use degrees, while maths, physics and programming use radians. Machining and construction use degrees; some drafting and military work uses gradians or mils.
How to calculate Radians to Gradians step by step
- Enter the value in rad (the starting unit).
- Multiply by 63.66198, because 1 rad = 63.66198 grad.
- The product is the value in grad. To go back, divide by 63.66198 or multiply by 0.01570796.
Popular angle conversions
How to read your Radians to Gradians result
Quick estimate: multiply by about 64 to get gradians from radians; this is within 0.6% of the exact factor. To convert degrees to radians multiply by π/180, and to convert radians to degrees multiply by 180/π.
| RADIANS | GRADIANS |
|---|---|
| 1 | 63.66198 |
| 2 | 127.324 |
| 5 | 318.3099 |
| 10 | 636.6198 |
| 20 | 1,273.24 |
| 50 | 3,183.099 |
| 100 | 6,366.198 |
| 1,000 | 63,661.98 |
Gradians to Radians: quick table
| GRADIANS | RADIANS |
|---|---|
| 1 | 0.01570796 |
| 5 | 0.07853982 |
| 10 | 0.1570796 |
| 25 | 0.3926991 |
| 50 | 0.7853982 |
| 100 | 1.570796 |
| 250 | 3.926991 |
| 500 | 7.853982 |
Common mistakes when calculating Radians to Gradians
- Leaving a calculator in degree mode when the input is in radians (or the reverse).
- Dividing when you should multiply: from rad to grad multiply by 63.66198; from grad to rad divide by 63.66198.
Radians to Gradians FAQ
How many grad are in 1 rad?
1 rad equals 63.66198 grad.
How many rad are in 1 grad?
1 grad equals 0.01570796 rad.
Is 1 rad = 63.66198 grad an exact conversion?
The factor is shown rounded to 7 significant figures (63.66198). The calculator above uses more digits.
What is a gradian (grad)?
1/400 of a full turn, also called a gon.
How can I estimate radians to gradians in my head?
Quick estimate: multiply by about 64 to get gradians from radians; this is within 0.6% of the exact factor.
What is 0.5 rad in gradians?
0.5 rad = 31.83099 grad (since 0.5 × 63.66198).
What is 25 rad in gradians?
25 rad = 1,591.549 grad (since 25 × 63.66198).
What is 80 rad in gradians?
80 rad = 5,092.958 grad (since 80 × 63.66198).
How many decimals should I keep when converting rad to grad?
Match the precision of your original measurement. For example, 636.6198 grad rounds to 637 grad at 3 significant figures; keep more digits only for engineering or scientific work.
More in Angle converters
- Revolutions to Gradians Converter
- Revolutions to Radians Converter
- Gradians to Degrees Converter
- Degrees to Revolutions Converter
- Degrees to Gradians Converter
- Degrees to Radians Converter
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Method, review and disclaimer
Edited by: Hemant Kumar and Anjita Rai, founders of ToolsVault (SEO and content professional, not a licensed adviser). Method: this tool runs in your browser using the formula shown on this page; the numbers you enter are not sent to our servers. Sources: NIST SP 811, Appendix B.8: conversion factors, BIPM: the SI derived units