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Probably because 360 can be divided in more ways than 100.

The number 360 has several more factors than 100. Consider:

360 = 5 * 3 * 3 * 2 * 2 * 2

This means that 360 can be divided by any combination of those factors multiplied together:

2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 40, 45, 60, 90, 120, 180

That gives us twenty different factors by which we can divide the circle.

The number 100 on the other hand, only has four prime factors:

100 = 2 * 2 * 5 * 5

Which means it can only be divided by these factors:

2, 4, 5, 10, 20, 25, 50

Giving us only seven different factors.

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9y ago
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Q: Why did they use 360 degrees and not something simpler like 100 degrees?
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