Two circle are inscribed inside squares. Write a function f in terms of the radius r that represents the area of the shaded region. Leave your answer in terms of π.f(r)=___

The function [tex]f[/tex] in terms of the radius [tex]r[/tex] that represents the area of the shaded region is [tex]f(r) = 2\pi\cdot r^{2}[/tex]. The area of the shaded region is the sum of the areas of the two circles of same radius, each of them represented by the following formula:[tex]A_{r} = \pi\cdot r^{2}[/tex] (1)Where:[tex]A_{r}[/tex] - Area of the circle.[tex]r[/tex] - Radius of the circle. Then, the formula for the shaded area is:[tex]f(r) = 2\cdot A_{r}[/tex][tex]f(r) = 2\pi\cdot r^{2}[/tex] (2)The function [tex]f[/tex] in terms of the radius [tex]r[/tex] that represents the area of the shaded region is [tex]f(r) = 2\pi\cdot r^{2}[/tex]. [tex]\blacksquare[/tex]RemarkThe figure is missing and the statement present mistakes. Correct statement is shown below:Two circle are inscribed inside squares. Write a function [tex]f[/tex] in terms of the radius [tex]r[/tex] that represents the area of the shaded region. Leave your answer in terms of π.To learn more on areas, we kindly invite to check this verified question: