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

Respuesta :

Answer: 56 square feet

Step-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 feet

Area of the circle is [tex]\pi[/tex][tex]r^{2}[/tex]

= 3.142 X 7 X 7

= 153.958

Area of the remaining portion will be Area of the circle - Area of the square , that is

153 . 958 - 98

= 55. 958

≈ 56 square feet

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