The cost of manufacturing a semi-circular window is the cost of the glass pane together with the cost of the framing material. When ordering this window, a customer specifies the length of the base of the window, shown as l
a. Determine the total length of frame needed for a window with a base length of 4 feet. Round your answer to the nearest hundredth of a foot.
b. Write a function named h that relates the total length of the frame to the length of the base of the window.
c. If the cost of the framing material is $12 per linear foot, what is the cost of a window frame with a base length of 4 feet? Use your answer to part a), and round to the nearest penny.
d. Determine the largest possible window frame you can buy if the most you can spend on the frame is $500. What should you specify for the base window length? Round to the nearest tenth of a foot.