A metal ornament is being designed such that its perimeter is created by four identical three-quarter circles as shown whose centers are connected to form a square. The ornament, both circular and square portions, is made of wire that weighs 1.8 grams per inch. The square has sides that are 4 inches long.
a) Determine the total length of the circular portions in terms of pi. Show the work that leads to your answer.
b) Determine the total length of wire needed, both circular and square portions, to the nearest tenth of an inch.
c) Determine the total weight of the ornament to the nearest gram.