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
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.