MINIMIZATION PROBLEM (CALC)
posted by Pierre .
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?

total area= PIr^2+ ((92r)/4)^2
so find r when dA/dr=0
lengths of two pieces: 2r, 92r
you will get two solutions, one for min area, one for max area. 
n7w
Respond to this Question
Similar Questions

Math
You have a wire that is 35 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The other piece will be bent into the shape of a circle. Let A represent the total area of the square and the … 
Calc
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 … 
MINIMIZATION PROBLEM (CALC)
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 … 
Pre Cal
a piece of wire 5 inches long is to be cut into two pieces. One piece is x inches long and is to be bent into the shape of a square. the other piece is to be bent into the shape of a circle. Find an expression for the total area made … 
Calculus
A piece of wire 12 m long is cut into two pieces. One piece is bent into the shape of a circle of radius r and the other is bent into a square of side s. How should the wire be cut so that the total area enclosed is: a) a maximum? 
Calculus
A wire 4 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 … 
Calculus
A piece of wire 40 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. How should the wire be cut so that the total area enclosed is a maximum= minimum= Find the length … 
calculus
A piece of wire 18 m long is cut into two pieces. One piece is bent into a square and the other is bent into a circle. (a) How much wire should be used for the square in order to maximize the total area? 
Calculus
A wire 7 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 … 
Calc Optimization
A piece of wire 9 m long is cut into two pieces. one piece is bent into the shape of a circle of radius r and the other is bent into a square of side s. how should the wire be cut so that the total area enclosed is: I have found the …