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You are given 4 meters of wire and told to cut the wire into two pieces. One piece is used to form a circle.

    

You are given 4 meters of wire and told to cut the wire into two pieces. One piece is used to form a circle. One piece is used to form a square. How much wire should be used for the square to guarantee that the total area enclosed by both the square and the circle combined is maximized? Question 3 Not complete Marked out of 1.00 Flag question Hint: Let z be the number of meters cut for the square and let 4 -r be the number of meters cut for the circle. Then z is the perimeter of the figure out the area of the square (it will be in terms of z). What is the radius of the circle, recalling that the perimeter of the circle is 2ar (it will b in terms of 4- 2? Then, once you have the radius of the circle, you can determine the area of the circle (in terms of 4 - r). Then adding these two areas together gives the Area we need to maximize. You can always email me along the way as you do the different steps if you need some help. do Select one: O a The number of meters of wire cut for the square should be 0, ie all the wire should go to making a circle. b. The number of meters of wire cut for the square should be 1. i.e. all the wire should go to making the square. c. The number of meters of wire cut for the square should be . d. The number of meters of wire cut for the square should be 2, i.e. half the wire should make the circle and half the wire should make the n+4

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