180º = 200.00g

180º = 200.00g

Accuracy

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.

## 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.

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.

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.

Starting value
Increment
Accuracy
Format
Degrees
0
1
2
3
4
5
6
7
8
9
0.0000g
1.1111g
2.2222g
3.3333g
4.4444g
5.5556g
6.6667g
7.7778g
8.8889g
10.000g
Degrees
10
11
12
13
14
15
16
17
18
19
11.111g
12.222g
13.333g
14.444g
15.556g
16.667g
17.778g
18.889g
20.000g
21.111g
Degrees
20
21
22
23
24
25
26
27
28
29
22.222g
23.333g
24.444g
25.556g
26.667g
27.778g
28.889g
30.000g
31.111g
32.222g
Degrees
30
31
32
33
34
35
36
37
38
39
33.333g
34.444g
35.556g
36.667g
37.778g
38.889g
40.000g
41.111g
42.222g
43.333g