Question

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)=___

Answer 1

The function $f$ in terms of the radius $r$ that represents the area of the shaded region is $f(r) = 2\pi\cdot r^{2}$.

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:

$A_{r} = \pi\cdot r^{2}$ (1)

Where:

• $A_{r}$ - Area of the circle.
• $r$ - Radius of the circle.

Then, the formula for the shaded area is:

$f(r) = 2\cdot A_{r}$

$f(r) = 2\pi\cdot r^{2}$ (2)

The function $f$ in terms of the radius $r$ that represents the area of the shaded region is $f(r) = 2\pi\cdot r^{2}$. $\blacksquare$

Remark

The figure is missing and the statement present mistakes. Correct statement is shown below:

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.

To learn more on areas, we kindly invite to check this verified question:  https://brainly.com/question/1631786