Converting from Degree (°) to Second of arc (") | Angle

What is Degree (°)

Degree (°) is a unit of angle measurement that is commonly used in geometry, geography, and astronomy. A full circle is divided into 360 degrees. Each degree is further divided into smaller units called minutes and seconds of arc.

What is Second of arc (")

Second of arc (") is a smaller unit of angle measurement used to express angles more precisely. There are 60 seconds of arc in a minute of arc and 3600 seconds of arc in a degree. It is commonly used in navigation, astronomy, and engineering for precise angular measurements.

Conversion Formulas

The default conversion between degrees and seconds of arc is:

• 1 (°) = 3600 (")
• 1 (") = 0.0002777778 (°)

Examples

• 6 degrees is equal to 21600 seconds of arc:

6°=6×3600”=21600”

• 3 degrees is equal to 10800 seconds of arc:

3°=3×3600”=10800”

• 5 degrees is equal to 18000 seconds of arc:

5°=5×3600”=18000”

• Conversely, 6 seconds of arc is equal to 0.001666667 degrees:

6”=36006​°=0.001666667°

• Similarly, 3 seconds of arc is equal to 0.0008333333 degrees:

3”=36003​°=0.0008333333°

• Likewise, 5 seconds of arc is equal to 0.001388889 degrees:

5”=36005​°=0.001388889°

Use this page for quick and accurate conversions between degrees and seconds of arc in your angle calculations.