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Mathematics 14 Online
OpenStudy (anonymous):

Steve likes to entertain friends at parties with "wire tricks." Suppose he takes a piece of wire 48 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.)

OpenStudy (anonymous):

lets call the amount used for the circle \(x\) making the amount used for the square \(48-x\)

OpenStudy (anonymous):

then find the formula for the area of the circle with circumference \(x\) and the area of the square with perimeter \(48-x\) add them up and minimize

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