A square is cut out of a circle whose diameter is approximately 14 feet. What is the approximate area of the remaining portion o
f the circle in square feet?
2 answers:
see the attached figure <span>to better understand the problem
we know that
the side of square=2*[r*</span>√2/2]=r*√2
r=14 ft
the side of square=14*√2=19.80 ft
<span>[area of the remaining portion of the circle]=[ area of a circle]-[area of a square]
</span>[area of a square]=(14√2)²=392 ft²
[ area of a circle]=pi*14²=615.75 ft²
<span>therefore
</span>[area of the remaining portion of the circle]=615.75-392=223.75 ft²
<span>
the answer is </span>223.75 ft²<span>
</span>
we know that
the side of square=2*[r*</span>√2/2]=r*√2
r=14 ft
the side of square=14*√2=19.80 ft
<span>[area of the remaining portion of the circle]=[ area of a circle]-[area of a square]
</span>[area of a square]=(14√2)²=392 ft²
[ area of a circle]=pi*14²=615.75 ft²
<span>therefore
</span>[area of the remaining portion of the circle]=615.75-392=223.75 ft²
<span>
the answer is </span>223.75 ft²<span>
</span>
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