Question

A designer wants to make a circular fountain inside a square of grass as shown at the right. What is a rule for the area A of the grass as a function if r

Answer 1

Answer:

$A=4r^{2}-r^{2}\pi$

Step-by-step explanation:

1. To calculate the area of the grass you must substract the area of the square and the area of the circle.

2. The area of the square is:

$A1=L^2$

Where $L$ is one side of the square.

3. You have that:

$L=2r$

4. Therefore:

$A1=(2r)^{2} =4r^{2}$

5. The area of the circle is:

$A2=r^{2}\pi$

6. The are of the grass is:

$A=4r^{2}-r^{2}\pi$