There is a circular garden in the middle of a square yard. The radius of the circle is 4x. The side length of the yard is 20x. What is the area of the part of the yard that is not covered by the circle?

I keep coming up with 4x(5)but I don't think that is right. How do I work the problem for the answer?

To find the area of the part of the yard that is not covered by the circle, we need to find the area of the square yard and subtract the area of the circular garden.

Step 1: Calculate the area of the square yard.
The side length of the square yard is given as 20x, so we can calculate its area by squaring the side length:
Area of square yard = (side length)^2 = (20x)^2 = 400x^2.

Step 2: Calculate the area of the circular garden.
The area of a circle is given by the formula: Area = π * (radius)^2.
The radius of the circular garden is given as 4x, so its area is:
Area of circular garden = π * (4x)^2 = 16πx^2.

Step 3: Calculate the area of the part of the yard that is not covered by the circle.
This is obtained by subtracting the area of the circular garden from the area of the square yard:
Area of part not covered = Area of square yard - Area of circular garden
= 400x^2 - 16πx^2.

Thus, the area of the part of the yard that is not covered by the circle is 400x^2 - 16πx^2.