Degrees to Centrad (deg to crad)

180º = 314.16Centrad

Centrad to Degrees (Swap units)

180º = 314.16Centrad

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.

Degrees to Centrad calculation

Centrad = Degrees * 1.74532863

Centrad = 180 * 1.74532863

Centrad = 314.1591534

 

Degrees to Centrad formula

Centrad = Degrees * 1.74532863

Converting Degrees to Centiradians

Converting degrees to centiradians is a straightforward process that allows us to express angles in a different unit of measurement. While degrees are commonly used in everyday life, centiradians are a unit specifically designed for use in trigonometry and calculus. The conversion between the two units is based on the fact that a full circle contains 360 degrees or 2π radians.

To convert degrees to centiradians, we need to consider that a full circle is equivalent to 2π radians or 360 degrees. Therefore, we can set up a proportion to find the conversion factor. Since there are 100 centiradians in a radian, we can write the proportion as follows: 360 degrees / 2π radians = x centiradians / 1 radian. Solving for x, we find that 1 degree is equal to approximately 0.017453 centiradians.

For example, if we want to convert an angle of 45 degrees to centiradians, we can multiply 45 degrees by the conversion factor of 0.017453 centiradians per degree. The result is approximately 0.7854 centiradians. This means that an angle of 45 degrees is equivalent to approximately 0.7854 centiradians.

Converting degrees to centiradians allows us to work with angles in a unit that is more suitable for certain mathematical calculations. It is a useful conversion to know, especially when dealing with trigonometric functions and calculus.

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 Centiradians

Centiradians, also known as centrad, are a unit of angular measurement commonly used in mathematics and engineering. As the name suggests, a centiradian is equal to one-hundredth of a radian, which is the standard unit for measuring angles in the International System of Units (SI).

The centiradian is a convenient unit for expressing small angles, especially when dealing with precise measurements or calculations. A full circle is divided into 2π radians, which means that there are approximately 6283 centiradians in a complete revolution.

Centiradians of degrees are often used in fields such as optics, where small angles are frequently encountered. For example, when discussing the angular resolution of a telescope or the field of view of a camera lens, centiradians provide a more precise measurement than degrees. Additionally, they are commonly used in trigonometry and calculus, where angles are often expressed in radians but need to be converted to degrees for practical applications.

 

Degrees to Centrad table

Starting value
Increment
Accuracy
Format
Degrees
0
1
2
3
4
5
6
7
8
9
Centrad
0.0000Centrad
1.7453Centrad
3.4907Centrad
5.2360Centrad
6.9813Centrad
8.7266Centrad
10.472Centrad
12.217Centrad
13.963Centrad
15.708Centrad
Degrees
10
11
12
13
14
15
16
17
18
19
Centrad
17.453Centrad
19.199Centrad
20.944Centrad
22.689Centrad
24.435Centrad
26.180Centrad
27.925Centrad
29.671Centrad
31.416Centrad
33.161Centrad
Degrees
20
21
22
23
24
25
26
27
28
29
Centrad
34.907Centrad
36.652Centrad
38.397Centrad
40.143Centrad
41.888Centrad
43.633Centrad
45.379Centrad
47.124Centrad
48.869Centrad
50.615Centrad
Degrees
30
31
32
33
34
35
36
37
38
39
Centrad
52.360Centrad
54.105Centrad
55.851Centrad
57.596Centrad
59.341Centrad
61.087Centrad
62.832Centrad
64.577Centrad
66.322Centrad
68.068Centrad

 

Popular links

; ;