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.
A degree is a versatile unit used to measure angles, temperature, and even geographic coordinates. When it comes to angles, the degree’s origin traces back to ancient Babylon, where mathematicians used a base-60 number system. This influence is why there are 360 degrees in a circle—a number easily divisible into many integer parts, allowing for precise calculations.
In navigation and cartography, degrees are crucial for pinpointing locations on Earth’s surface through latitude and longitude. Notably, each degree of latitude encompasses about 111 kilometers on the planet’s surface. Meanwhile, in temperature measurement, degrees Fahrenheit and Celsius reveal a fascinating convergence: −40°F is equivalent to −40°C, a curiosity often unknown by many. These uses highlight the degree’s essential role across various fields of science and everyday life.
Gradians | Degrees |
---|---|
0
grad
|
0
deg
|
5
grad
|
4.5
deg
|
10
grad
|
9
deg
|
15
grad
|
13.5
deg
|
20
grad
|
18
deg
|
25
grad
|
22.5
deg
|
30
grad
|
27
deg
|
35
grad
|
31.5
deg
|
40
grad
|
36
deg
|
45
grad
|
40.5
deg
|
50
grad
|
45
deg
|
55
grad
|
49.5
deg
|
60
grad
|
54
deg
|
65
grad
|
58.5
deg
|
70
grad
|
63
deg
|
75
grad
|
67.5
deg
|
80
grad
|
72
deg
|
85
grad
|
76.5
deg
|
90
grad
|
81
deg
|
95
grad
|
85.5
deg
|
100
grad
|
90
deg
|
105
grad
|
94.5
deg
|
110
grad
|
99
deg
|
115
grad
|
103.5
deg
|
120
grad
|
108
deg
|
125
grad
|
112.5
deg
|
130
grad
|
117
deg
|
135
grad
|
121.5
deg
|
140
grad
|
126
deg
|
145
grad
|
130.5
deg
|
150
grad
|
135
deg
|
155
grad
|
139.5
deg
|
160
grad
|
144
deg
|
165
grad
|
148.5
deg
|
170
grad
|
153
deg
|
175
grad
|
157.5
deg
|
180
grad
|
162
deg
|
185
grad
|
166.5
deg
|
190
grad
|
171
deg
|
195
grad
|
175.5
deg
|
200
grad
|
180
deg
|
205
grad
|
184.5
deg
|
210
grad
|
189
deg
|
215
grad
|
193.5
deg
|
220
grad
|
198
deg
|
225
grad
|
202.5
deg
|
230
grad
|
207
deg
|
235
grad
|
211.5
deg
|
240
grad
|
216
deg
|
245
grad
|
220.5
deg
|
250
grad
|
225
deg
|
255
grad
|
229.5
deg
|
260
grad
|
234
deg
|
265
grad
|
238.5
deg
|
270
grad
|
243
deg
|
275
grad
|
247.5
deg
|
280
grad
|
252
deg
|
285
grad
|
256.5
deg
|
290
grad
|
261
deg
|
295
grad
|
265.5
deg
|
300
grad
|
270
deg
|
305
grad
|
274.5
deg
|
310
grad
|
279
deg
|
315
grad
|
283.5
deg
|
320
grad
|
288
deg
|
325
grad
|
292.5
deg
|
330
grad
|
297
deg
|
335
grad
|
301.5
deg
|
340
grad
|
306
deg
|
345
grad
|
310.5
deg
|
350
grad
|
315
deg
|
355
grad
|
319.5
deg
|
360
grad
|
324
deg
|
365
grad
|
328.5
deg
|
370
grad
|
333
deg
|
375
grad
|
337.5
deg
|
380
grad
|
342
deg
|
385
grad
|
346.5
deg
|
390
grad
|
351
deg
|
395
grad
|
355.5
deg
|
400
grad
|
360
deg
|
Conversion | Call to Action |
---|---|
Gradians to Radians | Go to converter |
Gradians to Arcminutes | Go to converter |
Gradians to Arcseconds | Go to converter |