Origins of the 360 Degree Circle Convention

In summary, the 360 degree circle convention originated from the sexagesimal number system used by ancient civilizations, particularly the Sumerians and Babylonians. The number 360 was chosen for its ease of division and connection to the sacred number 60. While not used in all ancient civilizations, it became widely accepted during the Hellenistic period thanks to the influence of Greek mathematicians and astronomers. While there are alternative systems, the 360 degree circle convention remains the most commonly used and accepted method for measuring angles and circles in modern times.
  • #1
jobyts
227
64
Where did the 360 degree for a circle convention come from? By any chance, is it from the ~360 days for the Earth to revolve around the sun?
 
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  • #2
Could be. 360 deg. seems to come from the ancient Babylonians.
 
  • #3
The Babylonians used a numeration system based on multiples of 60. That, together with the fact that 365 is close to 360 influenced the choice.
 
  • #4
they worked in base 60 didn't they?

*got there too late*
 
  • #5
Irrational said:
they worked in base 60 didn't they?

*got there too late*
Yes. That's how we get 60 sec. = 1 min. and 60 min. = 1 hr. for time, and also 60 sec. = 1 min. and 60 min = 1 deg. for angle.
 

Related to Origins of the 360 Degree Circle Convention

1. What is the origin of the 360 degree circle convention?

The origin of the 360 degree circle convention can be traced back to ancient civilizations such as the Sumerians and Babylonians who used a sexagesimal (base 60) number system. This system was based on the number 60, which was believed to have mystical and divine properties. The number 360, which is the product of 60 and 6, was used to divide the circle into smaller units for measurement purposes.

2. Why was the number 360 chosen for the circle convention?

The number 360 was chosen for the circle convention because it has many factors, making it easy to divide into smaller units. It also has connections to the number 60, which was considered a sacred number in many ancient cultures.

3. Was the 360 degree circle convention used in all ancient civilizations?

No, the 360 degree circle convention was not used in all ancient civilizations. For example, the ancient Egyptians used a division of 360 degrees for measuring angles, but they also had a separate system of measuring circles using a division of 400 degrees. The Greeks also had their own system of dividing the circle into 360 degrees, but it was based on a different mathematical concept.

4. When did the 360 degree circle convention become widely accepted?

The 360 degree circle convention became widely accepted during the Hellenistic period, around the 3rd century BC. This was due to the influence of ancient Greek mathematicians and astronomers who used the 360 degree system in their calculations and measurements.

5. Are there any alternatives to the 360 degree circle convention?

Yes, there are alternative systems for dividing the circle, such as the 400 degree system used by the ancient Egyptians and the 24 hour clock system used for time measurement. However, the 360 degree circle convention remains the most commonly used and accepted system for measuring angles and circles in modern times.

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