The circle equation is .
Rewrite the equation as .
Compare it with circle equation .
.
Diameter of circle .
Let the side of square be .
In this case the squares diagonal is diameter of the circle.
The diagonals of a square bisects each other and the diagonals split the square into two right angle triangles.
Diameter of circle is hypotenuse of the triangles.
From the Pythagorean theorem .
.
Area of the square .
Substitute in .
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Area of the square is square units.
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