Gradians to Radians Conversion

  • grad   rad
  •  
Rounding Mode:

The gradian, also known as a gon, is a fascinating and less commonly used unit of angular measurement. It divides a circle into 400 equal parts, unlike the more familiar degrees or radians. Interestingly, its use is more prevalent in surveying and engineering because it simplifies calculations—each right angle is exactly 100 gradians.

The gradian was introduced during the French Revolution as part of the metric system’s attempt to decimalize units of measurement. Though it didn’t gain widespread adoption, gradian remains a testament to innovative efforts in standardizing measurements. Its legacy continues, offering an intriguing alternative for those looking to simplify complex angular calculations or explore history’s impact on our mathematical tools.

Did you know?

A radian is a unit of angular measure used in mathematics and is crucial for its ability to maintain consistency in trigonometric calculations. It is defined as the angle formed when the arc length equals the radius of the circle. Unlike degrees, radians offer a natural connection to the properties of a circle, as there are \(2\pi\) radians in a full circle, reflecting the direct relationship with the circle’s circumference. Interestingly, radians are dimensionless, meaning they have no physical dimension, which makes them an extremely versatile unit across different applications in physics and engineering.

Radian’s significance extends beyond just academic circles; it forms the backbone of much of modern technology. For example, the calculations performed by digital devices like smartphones and computers in graphic rendering and signal processing rely heavily on radian-based trigonometry. This seamless integration into practical technology underscores the profound yet often unnoticed role radians play in our digital world. By using radians, we achieve more efficient and accurate results, highlighting their indispensable nature in both theoretical and applied sciences.

> Gradians to Radians Conversion Table

Gradians Radians
0 grad 0 rad
5 grad 0.0785398 rad
10 grad 0.15708 rad
15 grad 0.235619 rad
20 grad 0.314159 rad
25 grad 0.392699 rad
30 grad 0.471239 rad
35 grad 0.549779 rad
40 grad 0.628319 rad
45 grad 0.706858 rad
50 grad 0.785398 rad
55 grad 0.863938 rad
60 grad 0.942478 rad
65 grad 1.02102 rad
70 grad 1.09956 rad
75 grad 1.1781 rad
80 grad 1.25664 rad
85 grad 1.33518 rad
90 grad 1.41372 rad
95 grad 1.49226 rad
100 grad 1.5708 rad
105 grad 1.64934 rad
110 grad 1.72788 rad
115 grad 1.80642 rad
120 grad 1.88496 rad
125 grad 1.9635 rad
130 grad 2.04204 rad
135 grad 2.12058 rad
140 grad 2.19911 rad
145 grad 2.27765 rad
150 grad 2.35619 rad
155 grad 2.43473 rad
160 grad 2.51327 rad
165 grad 2.59181 rad
170 grad 2.67035 rad
175 grad 2.74889 rad
180 grad 2.82743 rad
185 grad 2.90597 rad
190 grad 2.98451 rad
195 grad 3.06305 rad
200 grad 3.14159 rad
205 grad 3.22013 rad
210 grad 3.29867 rad
215 grad 3.37721 rad
220 grad 3.45575 rad
225 grad 3.53429 rad
230 grad 3.61283 rad
235 grad 3.69137 rad
240 grad 3.76991 rad
245 grad 3.84845 rad
250 grad 3.92699 rad
255 grad 4.00553 rad
260 grad 4.08407 rad
265 grad 4.16261 rad
270 grad 4.24115 rad
275 grad 4.31969 rad
280 grad 4.39823 rad
285 grad 4.47677 rad
290 grad 4.55531 rad
295 grad 4.63385 rad
300 grad 4.71239 rad
305 grad 4.79093 rad
310 grad 4.86947 rad
315 grad 4.94801 rad
320 grad 5.02655 rad
325 grad 5.10509 rad
330 grad 5.18363 rad
335 grad 5.26217 rad
340 grad 5.34071 rad
345 grad 5.41925 rad
350 grad 5.49779 rad
355 grad 5.57633 rad
360 grad 5.65487 rad
365 grad 5.73341 rad
370 grad 5.81195 rad
375 grad 5.89049 rad
380 grad 5.96903 rad
385 grad 6.04757 rad
390 grad 6.12611 rad
395 grad 6.20465 rad
400 grad 6.28319 rad

> Other Conversions

Conversion
Gradians to Degrees Go to converter
Gradians to Arcminutes Go to converter
Gradians to Arcseconds Go to converter
Back to Angle Conversion

:: Angle Units

:: Spread the Word

If you like the website, share it on social media.