MATH SOLVE

3 months ago

Q:
# A square 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?

Accepted Solution

A:

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

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