I'm a little stuck on this problem and I need some help

Question

A landscaper plants circular flowerbeds in square plots of land of various sizes. Once the flowerbed is built she fills in the uncovered land with sod. As a result, the amount of sod needed is determined by the size of the flowerbed, which depends on the size of the square plot of land she uses.

A. Define a function h that determines the area of the square plot in terms of the radius of the circular flowerbed, r.

B. Define a function k to determine the area of the circular flower bed in terms of its radius, r.

C. Use function notation to determine the number of square feet of sod needed to place in the white shaded region above. Hint: use the functions for the area of the square plot, h, and the area of the circular flower bed, k.

D. Using the function rules for h and k, define a function gg that determines the number of square feet of sod (to place in the white shaded region above) in terms of the radius of the circular flowerbed

(They didn't give any numerical values on the chart)

Answer 1

If you draw a circle inscribed in a square (or use the one given in the problem), which is what the problem implies (or shows in the drawing mentioned), draw either a vertical or horizontal diameter in the circle. You will notice something about the length of that diameter in relation to the sides of the square. That will enable you to calculate the answer to A.

The area of a circle formula in terms of the radius is easily found. Set that equal to k for the answer to B.

The answer to C is the area of the square minus the area of the circle. You have already found functions for each of those.

The answer to D is found by replacing h and k in answer C with the functions that h and k represent.