Degrees To Arcseconds Conversion

1 ° = 3,600 arcsec

Want to convert from arcseconds to degrees instead?

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How to convert degrees to arcseconds (° to arcsec)

The formula for converting degrees to arcseconds is: arcsec = ° × 3600. To calculate the degree value in arcseconds first substitute the degree value into the preceding formula, and then perform the calculation. If we wanted to calculate 1 degree in arcseconds we follow these steps:

arcsec = ° × 3600

arcsec = 1 × 3600

arcsec = 3600

In other words, 1 degree is equal to 3600 arcseconds.

Example Conversion

Let's take a look at an example. The step-by-step process to convert 9 degrees to arcseconds is:

Understand the conversion formula: arcsec = ° × 3600
Substitute the required value. In this case we substitute 9 for ° so the formula becomes: arcsec = 9 × 3600
Calculate the result using the provided values. In our example the result is: 9 × 3600 = 32400 arcsec

In summary, 9 degrees is equal to 32400 arcseconds.

Converting arcseconds to degrees

In order to convert the other way around i.e. arcseconds to degrees, you would use the following formula: ° = arcsec × 0.000277777777777778. To convert arcseconds to degrees first substitute the arcsecond value into the above formula, and then execute the calculation. If we wanted to calculate 1 arcsecond in degrees we follow these steps:

° = arcsec × 0.000277777777777778

° = 1 × 0.000277777777777778

° = 0.000277777777777778

Or in other words, 1 arcsecond is equal to 0.000277777777777778 degrees.

Conversion Unit Definitions

What is a Degree?

A degree is a unit of measure for angles, which is used to quantify the size of an angle. One degree is defined as 1/360th of a full rotation, which is a complete revolution around a circle.

To better understand this definition, it's important to note that a circle has 360 degrees. Therefore, an angle that spans one quarter of a circle (i.e., 90 degrees) is a right angle, while an angle that spans half a circle (i.e., 180 degrees) is a straight angle.

When measuring angles, degrees are usually denoted using the degree symbol (°), which is placed after the numerical value of the angle. For example, an angle of 45 degrees would be written as 45°.

What is a Arcsecond?

An arcsecond (or second) is a unit of angular measure that is used to measure very small angles, particularly in astronomy and geodesy. One second is defined as 1/3600th of a degree or 1/60th of a minute of arc.

To better understand this definition, it's important to note that a circle is divided into 360 degrees, and each degree is further divided into 60 minutes of arc. Each minute of arc is then divided into 60 seconds of arc. Therefore, one second of arc is a very small angle, equal to 1/3600th of a degree or approximately 0.00028 degrees.

When measuring angles using seconds, angles are usually denoted using the degree symbol (°) followed by the minute symbol (′) and then the second symbol (″). For example, an angle of 2 degrees, 30 minutes, and 15 seconds would be written as 2° 30′ 15″.