Tori is studying Japan and decides to paint a Japanese flag. She first paints a white rectangle that is 36 inches long and 24 inches wide. Then in the center , she paints a red circle with a circumference of 43.96 inches. Use 3.14 for pi.
A) In the finished painting , how many square inches is the white area? Round your answer to the nearest tenth.
b) In the finished painting , how many square feet is the white area? Display two different ways to get your answer. Round your answer to the nearest hundredth.
First compute the area of the rectangle: [tex]24\times36=864inches^2[/tex] We have to find the radius of the circle: circonférence of circle given radius is: [tex]C=2\pi r[/tex] We get the equation:[tex]2\pi r=43.96 [/tex] Solving the above equation for r we get: [tex]r=7[/tex] Compute the area of the circle like this: [tex]\pi r^3=\pi7^2=154inches^2[/tex] The white area is the difference of the area of the rectangle and the area of the circle: [tex]864-154=710inches^2[/tex]
