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?
To find the area of the part of the yard that is not covered by the circle, we need to subtract the area of the circle from the area of the square yard.
The area of the circle is given by the formula: πr², where r is the radius.
In this case, the radius of the circle is 4x, so the area of the circle is π(4x)² = 16πx².
The area of the square yard is given by the formula: (side length)².
In this case, the side length of the yard is 20x, so the area of the yard is (20x)² = 400x².
Now, we can subtract the area of the circle from the area of the yard:
400x² - 16πx².
So, the area of the part of the yard that is not covered by the circle is 400x² - 16πx².