A circle is inscribed in a square. The area outside the circle is what percent of the total area of the square (approximately)?
i dont understand the solution. i think a picture/diagram would help. thanks!
You can draw a circle inscribed in a square. Let assume that each side of the square = x
Therefore, the area of the square = x^2
Therefore, the area of the circle = Pi * r^2 = Pi * (x/2)^2
The area out side the circle = Area(square) - Area(circle) = x^2 - Pi*(x/2)^2
Percent(area outside circle/area of square) = [x^2 - Pi(x/2)^2]/x^2
= 1 - Pi/4 = 1 - 3.14/4 or approximately 0.22 = 22%