A wire of length 30 cm is cut into 2 pieces which are then bent into...

A wire of length 30 cm is cut into 2 pieces which are then bent into the shape of a circle of radius r and an equilateral triangle with side length s. Find the value of r which minimizes the total area enclosed by both shapes

Expert Solution

milcah answered 2 years ago

A piece of wire 10 meters long is cut into two pieces. One piece is bent...

A piece of wire 10 meters 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? a minimum?

A piece of wire 6 m long is cut into two pieces. One piece is bent...

A piece of wire 6 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 28 m long is cut into two pieces. One piece is bent...

A piece of wire 28 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. (Give your answers correct to two decimal places.) (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?

Consider a wire of length 4 ft that is cut into two pieces. One pieces form...

Consider a wire of length 4 ft that is cut into two pieces. One pieces form a radius for circle and other forms a square of side x. 1) choose x to maximize the sum of area. 2) choose x to minimize the sum of their areas. WHERE I got x=4/(x+pie).But i am not sure...

A piece of wire of length 50 is cut, and the resulting two pieces are formed...

A piece of wire of length 50 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? a) 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 nearest thousandth...

A stiff wire 44.5 cm long is bent at a right angle in the middle. One...

A stiff wire 44.5 cm long is bent at a right angle in the middle. One section lies along the z axis and the other is along the line y=2x in the xy plane. A current of 24.0 A flows in the wire-down the z axis and out the line in the xy plane. The wire passes through a uniform magnetic field given by B =(0.318i)T. A) Determine the magnitude and direction of the total force on the wire. (The...

A 20 foot piece of wire is to be cut into two pieces. One piece is...

A 20 foot piece of wire is to be cut into two pieces. One piece is used to form a circle and the other is used to form a square (imagine fence used to make a square corral and a circular corral). What lengths should be cut to make each shape in order to maximize the sum of the areas of the two shapes? Let x = the length of the part of the wire that will be used to...

Question