# 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 up by the square and the circle as a function of x.

1. 👍 0
2. 👎 0
3. 👁 435
1. x square and (5-x) circle

side of square = x/4
area of square = x^2/16

radius of circle = (5-x)/(2 pi)
area of circle = pi r^2 = pi(5-x)^2/(4 pi^2)

total area = x^2/16 + (5-x)^2/(4 pi)

1. 👍 0
2. 👎 0
posted by Damon

## Similar Questions

1. ### Math word problem

I know the answer, but is there a formula to show work? Amy had a piece of wire 96 inches long. She cut the wire into 3 pieces. The second piece was 6 inches longer than the first piece. The third piece is 9 inches longer than the

asked by Lauren on November 30, 2008
2. ### geometry

how many inches long is the radius of the largest circle that can fit inside a rectangle 18 inches long and 12 inches wide? An 84-cm wire is cut into three pieces. the second piece is 4 cm longer than the first piece and the third

asked by graciela on August 18, 2010
3. ### algebra

a 38 inch piece of steels is cut into three pieces so that the second piece is twice as long as the first piece, and the third piece is three inches more than four times the length of the first piece. find the lengths of pieces.

asked by maria on April 4, 2016
4. ### Math

you have a piece of wood that is 144 inches long. you cut it into three pieces. the second piece is 12 inches longer than the first piece. the third piece is 12 inches longer than the second piece. write and solve the equation to

asked by Mark on September 15, 2015
5. ### Math

A piece of wire 27/32 inches in length is cut into 3 equal pieces . How long is each piece 27/32 , 3/1 =81/32 =27 Is this right

asked by Weslee Clark on January 27, 2015
6. ### algebra

A 28​-inch board is to be cut into three pieces so that the second piece is twicetwice as long as the first piece and the third piece is 44 times as long as the first piece. If x represents the length of the first​ piece, find

asked by Anonymous on October 4, 2015
7. ### dma 040

42 inch board is cut into 3 pieces. Piece 2 is twice as long as the 1st & 3rd piece. Piece 3 is three times as long as piece 1. Find inches of all three pieces

asked by Anonymous on September 14, 2013
8. ### Pre algebra

25ft piece wire cut into 2 pieces one piece is 19ft shorter than the other piece how long was each piece

asked by Hope on June 8, 2014
9. ### math problem

A piece of wire 24 cm long is cut into two pieces and each piece is bent to form a square . Find the lenght of each piece of wire in order to maximize the sum of the area of the two squares?

asked by mark on March 21, 2013
10. ### Algebra

A ribbon 106 inches long is cut into three pieces. The middle-sized piece is 4 inches longern than twice the shortest piece. the longest piece is 3 times as long as the shortest piece. how long is the shortest piece?

asked by Tina on September 27, 2008
11. ### Algebra

A rope 116 inches is cut into three pieces.The middle-sized piece is 10 inches shorter than twice the shortest piece.The longest piece is 5/3 as long as the shortest piece.What is the length of the shortest piece?

asked by Reshanee F on November 29, 2012

More Similar Questions