Degrees to Gradians (deg to grad)

Degrees to Gradians (deg to grad) conversion calculator

Gradians to Degrees (Swap units)

180º = 200g

Note: You can increase or decrease the accuracy of this answer by selecting the number of significant figures required from the options above the result.

Degrees to Gradians conversion formula

Gradians = Degrees * 1.11111111

Degrees to Gradians calculation

Gradians = Degrees * 1.11111111

Gradians = 180 * 1.1111111111111

Gradians = 200

Converting from Degrees to Gradians

Converting from degrees to gradians is a straightforward process that involves a simple mathematical calculation. Both degrees and gradians are units of measurement used to express angles, but they differ in their scales. While a circle is divided into 360 degrees, it is divided into 400 gradians.

To convert from degrees to gradians, you can use the following formula: gradians = (degrees / 360) * 400. This formula takes the given angle in degrees and divides it by 360 to obtain the fraction of a circle it represents. Then, by multiplying this fraction by 400, you can determine the equivalent angle in gradians.

For example, let's say you have an angle of 90 degrees that you want to convert to gradians. Using the formula, you would calculate: gradians = (90 / 360) * 400 = 100 gradians. Therefore, an angle of 90 degrees is equivalent to 100 gradians.

Converting between degrees and gradians can be useful in various fields, such as engineering, surveying, and navigation. It allows for easy communication and understanding of angles across different systems of measurement.

About Degrees

Degrees (symbol: °) are a unit of measurement used to quantify angles in geometry and trigonometry. An angle is formed when two lines or rays intersect, and degrees are used to measure the amount of rotation between these lines or rays. The concept of degrees dates back to ancient civilizations, with the Babylonians being credited with the development of the sexagesimal system, which divided a circle into 360 equal parts.

In the sexagesimal system, a full circle is divided into 360 degrees, with each degree further divided into 60 minutes (symbol: '). Each minute is then divided into 60 seconds (symbol: "). This system allows for precise measurement of angles, with smaller units providing greater accuracy. Degrees are commonly used in various fields, including mathematics, physics, engineering, and navigation.

Degrees are a versatile unit of measurement, allowing for easy conversion between different angular units. For example, radians, another commonly used unit for measuring angles, can be converted to degrees by multiplying the value by 180/π (approximately 57.3°). Similarly, degrees can be converted to radians by multiplying the value by π/180. This flexibility makes degrees a convenient choice for expressing angles in everyday life and scientific calculations.

About Gradians

Gradians, also known as gons or grads, divide a circle into 400 equal parts. This means that a right angle is equal to 100 gradians, a full circle is 400 gradians, and so on. Gradians were introduced as an alternative to degrees and radians, aiming to provide a more convenient and decimal-based system for measuring angles.

While gradians are not as commonly used as degrees or radians, they do have their applications. For example, they are often used in surveying and navigation, where angles need to be measured and calculated with high precision. Additionally, gradians can be easily converted to degrees or radians, making them a versatile unit of measurement.

While radians are the standard unit for measuring angles in mathematics and physics, gradians offer an alternative system that can be useful in specific fields. Whether it's for precise measurements in surveying or for converting between different angle units, gradians provide a decimal-based approach to quantifying angles.

 

Degrees to Gradians table

Starting value
Increment
Accuracy
Degrees
Gradians
0.00000g
1.11111g
2.22222g
3.33333g
4.44444g
5.55556g
6.66667g
7.77778g
8.88889g
10.00000g
10º
11.11111g
11º
12.22222g
12º
13.33333g
13º
14.44444g
14º
15.55556g
15º
16.66667g
16º
17.77778g
17º
18.88889g
18º
20.00000g
19º
21.11111g
Degrees
Gradians
20º
22.22222g
21º
23.33333g
22º
24.44444g
23º
25.55556g
24º
26.66667g
25º
27.77778g
26º
28.88889g
27º
30.00000g
28º
31.11111g
29º
32.22222g
30º
33.33333g
31º
34.44444g
32º
35.55556g
33º
36.66667g
34º
37.77778g
35º
38.88889g
36º
40.00000g
37º
41.11111g
38º
42.22222g
39º
43.33333g
Degrees
Gradians
40º
44.44444g
41º
45.55556g
42º
46.66667g
43º
47.77778g
44º
48.88889g
45º
50.00000g
46º
51.11111g
47º
52.22222g
48º
53.33333g
49º
54.44444g
50º
55.55556g
51º
56.66667g
52º
57.77778g
53º
58.88889g
54º
60.00000g
55º
61.11111g
56º
62.22222g
57º
63.33333g
58º
64.44444g
59º
65.55556g
Degrees
Gradians
60º
66.66667g
61º
67.77778g
62º
68.88889g
63º
70.00000g
64º
71.11111g
65º
72.22222g
66º
73.33333g
67º
74.44444g
68º
75.55556g
69º
76.66667g
70º
77.77778g
71º
78.88889g
72º
80.00000g
73º
81.11111g
74º
82.22222g
75º
83.33333g
76º
84.44444g
77º
85.55556g
78º
86.66667g
79º
87.77778g