Hello, Softballgrl!

There is a square with four congruent quarter circles in it,

each with a radius of four. In the middle of the square there is a shaded region

that resembles a curved diamond shape, which i am supposed to find the area of. Code:

4 4
* - - - - * - - - - *
| * |
| : |
4 | *:* |
| *:::* |
| *:::::::* |
* *:::::::::::::::* * 8
| *:::::::* |
| *:::* |
4 | *:* |
| : |
| * |
* - - - - * - - - - *
8

The square has an area of: .$\displaystyle 8^2\:=\:64$ square units.

The four quarter-circles comprise one circle with radius 4.

. . Its area is: .$\displaystyle \pi r^2\:=\:16\pi$ square units.

Therefore, the shaded region has an area of $\displaystyle (64 - 16\pi)$ square units.