A 36-in. piece of string is cut into two pieces. One piece is used to form a circle while the other is used to form a square. How should the string be cut so that the sum of the areas is a minimum? Help!

Thank you!

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- Dec 7th 2008, 05:33 PMnathan02079Minimizing Area
A 36-in. piece of string is cut into two pieces. One piece is used to form a circle while the other is used to form a square. How should the string be cut so that the sum of the areas is a minimum? Help!

Thank you! - Dec 7th 2008, 05:44 PMskeeter
one piece has length x ... make that length into a circle

other piece has length (36-x) ... make that length into a square

circumference,

circle area,

side of the square,

square area,

total area ...