The Egyptians approximated the area of a circle by using shapes whose area they
The Egyptians approximated the area of a circle by using shapes whose area they did know. They observed that the area of a circle of diameter 9 units, for example, was very close to the area of a square with sides of 8 units, so that the area of circles of other diameters could be obtained by multiplying the diameter by 8/9 and then squaring it. This gives an effective approximation of accurate to within less than one percent
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The Egyptians approximated the area of a circle by using shapes whose area they did know
.
They observed that the area of a circle of diameter 9 units
,
for example
,
was very close to the area of a square with sides of 8 units
,
so that the area of circles of other diameters could be obtained by multiplying the diameter by 8/9 and then squaring it
.
This gives an effective approximation of accurate to within less than one percent
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