Question

Area = 64π in.² what is the dimension? r = ?

Answer 1

Area of Circle, Ac = 64
Area of Square = As
Diagonal of Square = d
Length of Side of Square = s


π r² = Ac:

π r² = 64
r² = 64 / π
r² = 20.372
r = √20.372
r = 4.514


d = 2r:

d = 2(4.514)
d = 9.028


2s² = d²:

2s² = (9.028)²
2s² = 81.505
s² = 81.505 / 2
s² = 40.75

As = s²

so

Area of Square = 40.75 sq. units.
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Answer 2

r=201.06

You would just multiply 64 and the pie symbol and get a long decimal. The shorter version of the decimal is 201.06. Hope this helped.