Square ABCD has the centers of 4 equal circles as its vertices. Find the shaded area.

Since we cannot see the shaded area, we cannot help you.

it like this OO

OO only that the up and down circles are together and in the middle is the area to be find it's shape like a diamond

To find the shaded area, we need to determine the area of square ABCD and subtract the combined area of the four circles.

Let's assume the side length of square ABCD is 'a'.

To find the area of square ABCD, we use the formula: Area = side length * side length = a * a = a^2.

Now, let's find the area of one of the circles. Since all the circles are equal, we can focus on just one of them. Each circle has a radius that can be determined by dividing the side length of the square by 2, because the radius is half the length of the diameter. So, the radius of each circle is 'r = a/2'.

The formula to find the area of a circle is: Area = π * radius^2 = π * (a/2)^2 = π * (a^2/4).

Since there are four equal circles, the total area of all four circles is: 4 * (π * (a^2/4)) = π * a^2.

Finally, to find the shaded area, we subtract the area of the circles from the area of the square: Shaded area = Area of square - Area of circles = a^2 - π * a^2.

This calculation gives us the shaded area of the square.