GO, ROWDY RODENTS! Recently, your school ordered a stained‑glass window with the design of the school’s mascot, the rodent. Your student body has decided that the shape of the window will be a regular octagon, shown at right. To fit in the space, the window must have a radius of 2 feet. The radius of a regular polygon is the distance from the center to each vertex.

A regular octagon with a point in the center. The radius is 2 feet.

a. A major part of the cost of the window is the amount of glass used to make it. The more glass used, the more expensive the window. Your principal has turned to your class to determine how much glass the window will need. Copy the diagram onto your paper and find its area. Explain how you found your answer.

b. The edge of the window will have a polished brass trim. Each foot of trim will cost 48.99 How much will the trim cost? Show all work.