|MadSci Network: Astronomy|
Although it is correct that a circle has 360 degrees, the apparent correlation to the time it takes earth to rotate around the Sun is only coincidence. To illustrate this point, let's image that we all live on Mars. On this planet which is one further from the Sun, the laws of geometry still apply, meaning that a circle still has 360 degrees. However, although the length of a single day on Mars is almost identical to the 24 hour day on Earth, a year on Mars takes 687 days.
So, had we lived on Mars, it would be obvious that there is no correlation. It just so happens that Earth is the correct distance from the Sun to result in a revolution period of 365 days.
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