Why do we consider only 360 degrees is equal to one complete cycle? Why not 300 or 400 or 500 etc.. ?

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The period of a wave in degrees is always 360
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Math Lover

A circle is the combination of four 90 degree sectors..so obviously total angle will be 360 degree.
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Math Magician

Only 360 degree can make a complete circle which is called a cycle.All the others can't.
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Maths Magician

360 is incredibly abudant number.so,we can divide easily into 2,3,4,5,6,8,9,10.....parts.one more fact is there-our sun takes 360 to make one annual.it means it completes one circle in a year
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Maths Tutor

180 degree is half cycle i.e semi circle. twice 180 degree is full circle i.e one complete cycle.
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