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arcseconds to gradians conversion

arcseconds to gradians conversion table

arcseconds (arcsec)gradians (grad)
00
10.0003086419753086
20.0006172839506173
30.0009259259259259
40.001234567901235
50.001543209876543
60.001851851851852
70.00216049382716
80.002469135802469
90.002777777777778
100.003086419753086
200.006172839506173
300.009259259259259
400.01234567901235
500.01543209876543
600.01851851851852
700.0216049382716
800.02469135802469
900.02777777777778
1000.03086419753086
10000.3086419753086

How to convert arcseconds to gradians?

Sure! Let's start with the conversion.

1 arcsecond (″) is a unit for measuring very small angles, and an angle can be measured in various units, such as degrees, radians, and gradians.

Conversion process:

  1. Understanding basic relationships:

    • 1 degree = 60 minutes (')
    • 1 minute = 60 arcseconds (")
    • Therefore, 1 degree = 60 * 60 = 3600 arcseconds

  2. Convert arcseconds to degrees:

    • 1 arcsecond = 1 / 3600 degrees

  3. Convert degrees to gradians:

    • 1 degree = 10/9 gradians

Combining these conversions:

1 arcsecond=(13600 degrees)×(109 gradians / degree)=1032400 gradians=13240 gradians\text{1 arcsecond} = \left(\frac{1}{3600} \text{ degrees}\right) \times \left(\frac{10}{9} \text{ gradians / degree}\right) = \frac{10}{32400} \text{ gradians} = \frac{1}{3240} \text{ gradians}

So, 1 arcsecond is equal to approximately 0.00030864 gradians.

Real-world examples of quantities in arcseconds:

  1. Astronomical observations:

    • Stellarium angular resolution: The Hubble Space Telescope can achieve angular resolutions of about 0.05 arcseconds.
    • Exoplanet detection: Modern techniques detect exoplanets by measuring stellar wobbles on the order of arcseconds.

  2. Geographical measurements:

    • Surveying: High-precision land surveying can use angles measured in arcseconds to define property boundaries accurately.

  3. Astronomy landmarks:

    • Parallax of stars: Some nearby stars have parallax shifts as small as 0.1 arcsecond due to Earth’s orbital movement around the Sun.

These examples highlight how arcseconds are crucial in fields that require extremely precise angular measurements.

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 gradians to other unit conversions.

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.

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.

Complete arcseconds conversion table

Enter # of arcseconds
Convert 1 arcsec to other unitsResult
arcseconds to radians (arcsec to rad)0.000004848136811095
arcseconds to degrees (arcsec to deg)0.0002777777777778
arcseconds to gradians (arcsec to grad)0.0003086419753086
arcseconds to arcminutes (arcsec to arcmin)0.01666666666667

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