Question
Steve likes to entertain friends at parties with wire tricks. Suppose he takes a piece of wire 72 inches long and cuts it into
Steve likes to entertain friends at parties with "wire tricks." Suppose he takes a piece of wire 72 inches long and cuts it into two pieces. Steve takes the first piece of wire and bends it into the shape of a perfect circle. He then proceeds to bend the second piece of wire into the shape of a perfect square. What should the lengths of the wires be so that the total area of the circle and square combined is as small as possible? (Round your answers to two decimal places.) length of wire for the circle length of wire for the square Xin x in What is this combined minimal area? (Round your answer to two decimal places.) xin2 What should Steve do if he wants the combined area to be as large as possible? He should make two circles, each with radius 36 inches. O He should make two squares, each with side length 18 inches. O He should make a circle using 36 inches of wire, and a square using the rest of the wire. He should make only a circle using all 72 inches of wire. O He should make only a square using all 72 inches of wire.
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