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what is circumference of a circle? why circumference=2(pi)r. what is perimeter of a circle?
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A fun proof of the known geometry fact that the circumference of a circle is pi times its diameter, or 2 * pi * r. I am definitely aware that there are easier methods, like parametrizing the circle or solving the arc length integral in polar coordinates. But the advantage of the method I presented is that it should be easy to follow for someone who hasn’t seen parametric equations before. #math #calculus #integral #geometry #trigonometry #proof
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