The ancient Egyptians knew that they could approximate the area of a circle as follows:
3.
"Senator, what's the area of a circle ?"
4.
For example, an integral that specifies half the area of a circle of radius one is given by:
5.
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:
7.
This is the area of a circle with radius \ scriptstyle \ sqrt { s }, divided by \ scriptstyle \ pi.
8.
In simple terms, the assertion is that the area of a circle is the same as that of a square with the same perimeter.
9.
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.
10.
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.