Homework Help: Pre Cal

Posted by Ashley on Sunday, July 24, 2011 at 6:47pm.

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.

Pre Cal - Damon, Sunday, July 24, 2011 at 6:57pm
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)

Answer this Question

Related Questions

Math word problem - I know the answer, but is there a formula to show work? Amy ...
geometry - how many inches long is the radius of the largest circle that can fit...
Calculus - a piece of wire 12 ft. long is cut into two pieces. one piece is made...
pre calculus - A wire 10m long is cut into 2 pieces. one piece will be cut into ...
Math - A 26 inch ribbon is cut into three pieces. One piece is 12 inches. The ...
Related rates - A piece of wire 10 feet long is cut into two pieces. One piece ...
Calculus - A piece of wire 12 m long is cut into two pieces. One piece is bent ...
Math - Henrey had a piece of a rope that was 22 1/2 inches long. Henry cut the ...
Calculus - A wire 4 meters long is cut into two pieces. One piece is bent into a...
Algebra - A ribbon 106 inches long is cut into three pieces. The middle-sized ...

For Further Reading

First Name:
School Subject:
Answer: