Homework Help: MINIMIZATION PROBLEM (CALC)

Posted by Pierre on Saturday, October 30, 2010 at 3:55pm.

A wire 9 meters long is cut into two pieces. One piece is bent into a square for a frame for a stained glass ornament, while the other piece is bent into a circle for a TV antenna. To reduce storage space, where should the wire be cut to minimize the total area of both figures? Give the length of wire used for each:
For the square?
For the circle?

Where should the wire be cut to maximize the total area? Again, give the length of wire used for each:
For the square?
For the circle?

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