Question

Consider a wire 2 ft long cut into two pieces. One piece forms a circle with...

Consider a wire 2 ft long cut into two pieces. One piece forms a circle with radius r and the other forms a square of side x.

Choose x (in ft) to maximize the sum of their areas.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A piece of wire 10 m long is cut into two pieces. One piece is bent...
A piece of wire 10 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? & How much wire should be used for the square in order to minimize the total area?
A piece of wire 26 m long is cut into two pieces. One piece is bent...
A piece of wire 26 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? (b) How much wire should be used for the square in order to minimize the total area?
A piece of wire of length 70 is cut into two pieces. One piece is bent...
A piece of wire of length 70 is cut into two pieces. One piece is bent into a square and the other is bent into a circle. If the sum of the areas enclosed by each part is a​ minimum, what is the length of each​ part? To minimize the combined​ area, the wire should be cut so that a length of ____ is used for the circle and a length of ______is used for the square. ​(Round to the...
A piece of wire 8 m long is cut into two pieces. One piece is bent...
A piece of wire 8 m long is cut into two pieces. One piece is bent into a square and the other is bent into a circle. (Give your answers correct to two decimal places. ) How much wire should be used for the circle in order to maximize the total area? m How much wire should be used for the circle in order to minimize the total area? m show all work
100 cm long wire is cut into two pieces. One of the pieces is bent into...
100 cm long wire is cut into two pieces. One of the pieces is bent into a circle, but square is made from the other wire piece. How is the 100 cm wire supposed to be cut so that the total area of the circle and the square will be (a) the biggest. (b) the smallest.
100 cm long wire is cut into two pieces. One of the pieces is bent into...
100 cm long wire is cut into two pieces. One of the pieces is bent into a circle, but square is made from the other wire piece. How is the 100 cm wire supposed to be cut so that the total area of the circle and the square will be (a) the biggest. (b) the smallest.
A piece of wire 35 long is cut into two pieces . One piece is bent...
A piece of wire 35 long is cut into two pieces . One piece is bent into a square and the other is bent into an equilateral triangle. What is the largest possible total area enclosed by the two pieces?
A piece of wire 14 m long is cut into two pieces. One piece is bent...
A piece of wire 14 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. (b) How much wire should be used for the square in order to minimize the total area?
A piece of wire 5 m long is cut into two pieces. One piece is bent...
A piece of wire 5 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. (b) How much wire should be used for the square in order to minimize the total area?
A piece of wire of length 55 is​ cut, and the resulting two pieces are formed...
A piece of wire of length 55 is​ cut, and the resulting two pieces are formed to make a circle and a square. Where should the wire be cut to​ (a) minimize and​ (b) maximize the combined area of the circle and the​ square?