Revolutions to Gradians Converter
Quick answer: To convert revolutions to gradians, multiply by 400. For example, 10 rev is 4,000 grad. One turn equals 400 grad.
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Use the Revolutions to Gradians Converter
Revolutions to Gradians formula and what each symbol means
grad = rev × 400
| Symbol | Meaning |
|---|---|
| rev | Turn |
| grad | Gradian |
Revolutions to Gradians examples
1 rev
1 rev × 400 = 400 grad.
10 rev
10 rev × 400 = 4,000 grad.
100 rev
100 rev × 400 = 40,000 grad.
Revolutions compared with Gradians
One rev is 400 times as large as one grad, so your number gets bigger when you convert revolutions to gradians and smaller when you convert back. If the answer is not larger than what you typed, you divided instead of multiplying.
About revolutions and gradians
Turn (rev): One full turn, 360 degrees or 2π radians. Gradian (grad): 1/400 of a full turn, also called a gon.
Where revolutions to gradians conversions are used
Machining and construction use degrees; some drafting and military work uses gradians or mils. Trigonometry functions in most programming languages expect radians.
How to calculate Revolutions to Gradians step by step
- Enter the value in rev (the starting unit).
- Multiply by 400, because 1 rev = 400 grad.
- The product is the value in grad. To go back, divide by 400 or multiply by 0.0025.
Popular angle conversions
How to read your Revolutions to Gradians result
To convert degrees to radians multiply by π/180, and to convert radians to degrees multiply by 180/π.
| REVOLUTIONS | GRADIANS |
|---|---|
| 1 | 400 |
| 2 | 800 |
| 5 | 2,000 |
| 10 | 4,000 |
| 20 | 8,000 |
| 50 | 20,000 |
| 100 | 40,000 |
| 1,000 | 400,000 |
Gradians to Revolutions: quick table
| GRADIANS | REVOLUTIONS |
|---|---|
| 1 | 0.0025 |
| 5 | 0.0125 |
| 10 | 0.025 |
| 25 | 0.0625 |
| 50 | 0.125 |
| 100 | 0.25 |
| 250 | 0.625 |
| 500 | 1.25 |
Common mistakes when calculating Revolutions to Gradians
- Using 3.14 for π when high accuracy is needed.
- Dividing when you should multiply: from rev to grad multiply by 400; from grad to rev divide by 400.
Revolutions to Gradians FAQ
How many grad are in 1 rev?
1 rev equals 400 grad.
How many rev are in 1 grad?
1 grad equals 0.0025 rev.
Is 1 rev = 400 grad an exact conversion?
The factor is shown rounded to 7 significant figures (400). 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 revolutions to gradians in my head?
One rev is 400 times as large as one grad, so your number gets bigger when you convert revolutions to gradians and smaller when you convert back. If the answer is not larger than what you typed, you divided instead of multiplying.
What is 15 rev in gradians?
15 rev = 6,000 grad (since 15 × 400).
What is 75 rev in gradians?
75 rev = 30,000 grad (since 75 × 400).
What is 300 rev in gradians?
300 rev = 120,000 grad (since 300 × 400).
How many decimals should I keep when converting rev to grad?
Match the precision of your original measurement. For example, 4,000 grad rounds to 4,000 grad at 3 significant figures; keep more digits only for engineering or scientific work.
More in Angle converters
- Radians to Gradians Converter
- Degrees to Radians Converter
- Radians to Degrees Converter
- Degrees to Revolutions Converter
- Gradians to Degrees Converter
- Gradians 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