The square below has side 10x. Find the area of the square remaining after a circle of radius 2x is removed from the square; in other words, find the area of the shaded region in factored form.
Area of a square: side^2 Area of a circle: (pi)(radius^2) A(square)=(10x)^2 A(circle)=(pi)(2x)^2 A(square)=100x^2 A(circle)=(pi)4x^2 Shaded Area=A(square)-A(circle) Shaded Area=100x^2-(pi)4x^2 =4x^2(25-(pi))
