Question 847480
A 30-inch piece of wire is cut into two pieces, one of which measured x inches.
 The piece measuring x inches is bent to form a circle and the remaining piece is bent to form a square.
 Express the total area of the circle and the square as a function of x.
 Find the domain of this function.
:
x = the circumference of the circle
find the radius
r = {{{x/(2pi)}}}
Find the area
A = {{{pi*(x/(2pi))^2}}}
simplify
A = {{{x^2/(4pi)}}}
:
Let s = the side of the square
4s = 30-x
s = {{{((30-x))/4}}}
Find the area of the square
A = {{{((30-x)/4)^2}}}
:
Total area
A(x) = {{{x^2/(4pi)}}} + {{{((30-x)/4)^2}}}
:
I think the domain would be: >0 and <30