The ancient Egyptians knew that they could approximate the area of a circle as follows:
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"Senator, what's the area of a circle ?"
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For example, an integral that specifies half the area of a circle of radius one is given by:
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One million circular mils is the area of a circle with 1000 mil ( 1 inch ) diameter.
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They were able to estimate the area of a circle by subtracting one-ninth from its diameter and squaring the result:
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This is the area of a circle with radius \ scriptstyle \ sqrt { s }, divided by \ scriptstyle \ pi.
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In simple terms, the assertion is that the area of a circle is the same as that of a square with the same perimeter.
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The relationship between the circumference, radius and area of a circle is a matter of pi, which is 3 1 / 7, or 3.14, or 3.1416.
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Thus, the expression ?r 2 could be used to calculate the area of a circle, using the built-in ? constant, implicit multiplication and exponentiation indicated by a superscript.
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