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A $8-$meter long iron wire is cut in two. One piece is to form a square and the other a circle. $($We allow the side length of the square or the radius of the circle to be zero.$)$

a$)$ Where should you cut the wire to maximize the sum of the areas from the two figures that have been produced?

Length of the piece of wire used to produce the square : $$ m$$

FORMATTING: give your answer with an accuracy of two decimal places.

b$)$ Where should you cut the wire to minimize the sum of the areas from the two figures that have been froduced?

Length of the piece of wire used to produce the square: $$ m

FORMATTING: give your answer with an accuracy of two decimal places.