A wire of length 28 m is to be cut into two pieces
Question: A wire of length 28 m is to be cut into two pieces. One of the pieces is to be made into a square and the other into a circle. What should be the length of the two pieces so that the combined area of the square and the circle is minimum?
Solution: Let meters be the side of square and meters be the radius of the circle.
Length of the wire = Perimeter of square + Circumference of circle
Now For max and minima
Therefore, the length of one piece =
Length of second piece