5. 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.
Cylinders
A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.
Cones
A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.
A metal ornament is being designed such that its perimeter is created by four identical three-quarter
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.
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