Asquare is cut out of a circle whose diameter is approximately 14 feet. what is the approximate area of the remaining portion of the circle in square feet?

   see the attached figure to better understand the problem

we know that
the side of square=2*[r*√2/2]=r*√2
r=14 ft
the side of square=14*√2=19.80 ft

[area of the remaining portion of the circle]=[ area of a circle]-[area of a square]

[area of a square]=(14√2)²=392 ft²
[ area of a circle]=pi*14²=615.75 ft²
therefore
[area of the remaining portion of the circle]=615.75-392=223.75 ft²

the answer is 223.75 ft²

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