A square is cut out of a circle whose diameter is approximately 14 feet. What is the approximate area (shaded region) of the remaining portion of the circle in square feet? ( where A=rrx2 rr =3.14
Accepted Solution
A:
Answer: 56 square feetStep-by-step explanation:When a square is inscribed within a circle, the side length of the square is equal to the diameter of the circle, divided by the square root of 2, this is the same as a square being cut out of the circle.This means that area of the square = [tex](\frac{14}{\sqrt{2} }) ^{2}[/tex]= 98 square feetArea of the circle is [tex]\pi[/tex][tex]r^{2}[/tex]= 3.142 X 7 X 7= 153.958Area of the remaining portion will be Area of the circle - Area of the square , that is153 . 958 - 98= 55. 958≈ 56 square feet