# calculus

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A piece of wire 18 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?

• calculus -

If x is allocated to the square, that leaves 18-x for the circle. So,
r = (18-x)/2π

a = π((18-x)/2π)^2 + (x/4)^2
= (1/4π + 1/16)x^2 - 9/π x + 81/π

now just set da/dx=0 and solve for x

• calculus -

BACON!!!!

• calculus -

true

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