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

Question

asked Jan 12, 2019 41.2k views

1 Answer

Jay Jung · Answer 1 · 2019-01-17T02:33:21+0000

Answer:

$A=4r^(2)-r^(2)\pi$

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
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:

$A=4r^(2)-r^(2)\pi$