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]
Remark
The 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.
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