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gradians to arcseconds conversion

gradians to arcseconds conversion table

gradians (grad)	arcseconds (arcsec)
0	0
1	3240
2	6480
3	9720
4	12960
5	16200
6	19440
7	22680
8	25920
9	29160
10	32400
20	64800
30	97200
40	129600
50	162000
60	194400
70	226800
80	259200
90	291600
100	324000
1000	3240000

How to convert gradians to arcseconds?

To convert gradians to arcseconds, you need to understand the relationship between gradians and degrees first, since 1 degree is equal to 3600 arcseconds.

Conversion from gradians to degrees:
- There are 400 gradians in a full circle and 360 degrees in a full circle.
- Therefore, 1 gradian is equal to $\frac{360}{400}$ degrees.
$1 \text{ gradian} = \frac{360}{400} \text{ degrees} = 0.9 \text{ degrees}$
Conversion from degrees to arcseconds:
- 1 degree is equal to 3600 arcseconds.
$1 \text{ degree} = 3600 \text{ arcseconds}$
Combining the two conversions:
- Multiply the number of degrees by the number of arcseconds per degree to find the number of arcseconds in one gradian.
$1 \text{ gradian} = 0.9 \text{ degrees} \times 3600 \text{ arcseconds/degree} = 3240 \text{ arcseconds}$

Therefore, 1 gradian equals 3240 arcseconds.

Real-World Examples of Gradians

Surveying: Gradians are often used in surveying because they simplify the calculation of right angles (90 gradians equal to a right angle).
Military Artillery: Some military forces use gradians for artillery aiming since angular measurements in gradians are more straightforward with their equipment.
Geography and Mapping: In some regions, maps and geographic information systems use gradians to measure angles for the sake of consistency within the metric system.

If you have any additional specific examples or applications you are curious about, feel free to ask!

See below section for step by step unit conversion with formulas and explanations. Please refer to the table below for a list of all the arcseconds to other unit conversions.

What is gradians?

A gradian, also known as a grade or gon, is a unit of angular measurement. It is equal to 1/400th of a full circle (or 360 degrees).

So, one gradian is equivalent to:

0.9 degrees
1.75 minutes of arc (since there are 360 x 60 = 21600 minutes in a circle)
π / 200 radians

Gradians are used as an alternative to degrees for measuring angles, particularly in navigation, surveying, and engineering applications.

For example:

A full circle is 400 gradians
A right angle (90°) is 100 gradians
An angle of 45° is 50 gradians

While gradians are used in some specific contexts, degrees remain the most widely used unit of angular measurement.

What is arcseconds?

Arcseconds (arcsec) are a unit of angular measurement used in astronomy and navigation. They represent a very small angle, but one that's useful for precise measurements.

One arcsecond is equal to 1/3600th of an arcminute (arcmin), or 1/21,600th of a degree (°). In other words:

1 ° = 60' = 3600" (1 degree = 60 minutes = 3600 seconds)

Arcseconds are often used in astronomy to measure the positions and movements of celestial objects, such as stars, galaxies, or asteroids. This is because arcseconds can represent very small angular distances, which are necessary for precise measurements.

To put it into perspective:

The diameter of a human hair is about 1/4 inch (6 mm). At a distance of 10 feet (3 meters), this would be equivalent to an angle of about 20 arcseconds.
The width of the full Moon is about 30 arcminutes, which is equal to 1800 arcseconds.

So, while arcseconds are small angles, they can still represent significant distances in astronomy and navigation.

Complete gradians conversion table

Enter # of gradians

Convert 1 grad to other units	Result
gradians to radians (grad to rad)	0.01570796326795
gradians to degrees (grad to deg)	0.9
gradians to arcminutes (grad to arcmin)	54
gradians to arcseconds (grad to arcsec)	3240

gradians to arcseconds conversion