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Discover the Gon to Radian Converter by Newtum. A user-friendly tool designed to accurately transform gon (gradian) measurements into radians, sparking your curiosity for mathematics and geometry.
A gon, also known as a gradian, is a unit of plane angle that is equivalent to 1/400 of a full circle. The full circle is divided into 400 equal parts, meaning each gon represents 0.9 degrees. Gons are often used in fields like surveying, where precise angular measurements are essential.
Definition of RadianA radian is the standard unit of angular measure used in many areas of mathematics. One radian is the angle created by taking the radius of a circle and wrapping it along the circle's edge. A full circle consists of approximately 6.28318 radians, which is equivalent to 2π radians.
| Gon (g) | Radian (rad) |
|---|---|
| 10 g | 0.0157 rad |
| 20 g | 0.0314 rad |
| 30 g | 0.0471 rad |
| 40 g | 0.0628 rad |
| 50 g | 0.0785 rad |
| 60 g | 0.0942 rad |
| 70 g | 0.1099 rad |
| 80 g | 0.1256 rad |
| 90 g | 0.1413 rad |
| 100 g | 0.1570 rad |
Example 1:
Convert 50 gons to radians:
50 g = (50/200) × π rad ≈ 0.7854 rad
Example 2:
Convert 100 gons to radians:
100 g = (100/200) × π rad ≈ 1.5708 rad
The Gon to Radian Converter is a mathematical tool that evolved from the need to interconvert units of angular measurements. Gons, used predominantly in surveying, and radians, used in various branches of mathematics, are converted for ease of integration into different applications and studies.
Explore the practical utility of the Gon to Radian Converter, an essential tool for professionals and enthusiasts in fields requiring precision angle conversions.
Example 1:
Convert 200 gons to radians:
200 g = (200/200) × π rad = π rad ≈ 3.1416 rad
Example 2:
Convert 300 gons to radians:
300 g = (300/200) × π rad = 1.5π rad ≈ 4.7124 rad
