SOLUTION: The Rhind Mathematical Papyrus, an Egyptian document dating from circa 1650 BC, states that the area of a circular field of diameter 9 units is equal to the area of a square with a
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Question 1199779: The Rhind Mathematical Papyrus, an Egyptian document dating from circa 1650 BC, states that the area of a circular field of diameter 9 units is equal to the area of a square with a side of 8 units. This sets the ancient Egyptian value of π (pi) at
a) 3
b) 3 1/8
c) 3 1/9
d) 3 9/64
e) 3 13/81 Found 2 solutions by Theo, ikleyn:Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website! The Rhind Mathematical Papyrus, an Egyptian document dating from circa 1650 BC, states that the area of a circular field of diameter 9 units is equal to the area of a square with a side of 8 units. This sets the ancient Egyptian value of π (pi) at
a) 3
b) 3 1/8
c) 3 1/9
d) 3 9/64
e) 3 13/81
a = pi* r^2
when d = 9, r = 4.5
the area of a square with a side of 8 units is equa to 8^2 = 64
you get:
64 = pi * 4.5^2
solve for pi to get:
64 / 4.5^2 = pi = 3.160493827
1/8 = .125
1/9 = .11111.....
9/64 = .140625
13/81 = .1604938272
looks like selection e is the answer.
3 + 13/81 = 3.160493827.
You can put this solution on YOUR website! .
The Rhind Mathematical Papyrus, an Egyptian document dating from circa 1650 BC,
states that the area of a circular field of diameter 9 units is equal to the area
of a square with a side of 8 units. This sets the ancient Egyptian value of π (pi) at
a) 3
b) 3 1/8
c) 3 1/9
d) 3 9/64
e) 3 13/81
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This document states that
= 8^2,
or, equivalently,
= 64.
Thus they evaluate as
= = = = 3 . ANSWER
Solved.
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3 is about 3.16, so it is quite good approximation to 3.14.
