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By drawing in multiple radii and utilizing the Pythagorean Theorem, we can see that the side length of the square is equal to
(
2
2
+
2
)
r
. Because the square has area 1, we know its side length is 1. If
1
=
(
2
2
+
2
)
r
, then
r
=
2
2
+
2
1
. Approximating
2
as 1.4, we can calculate
r
as being
4
.
8
1
=
0
.
2
0
8
. Plugging this into a calculator, instead, we get a more accurate answer of
0
.
2
0
7
.
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