A circle of radius r, you want to carve out a slice from the middle (like cutting a piece of pie) that makes 0 < θ < 2pi, and has perimeter P. Maximize the are of this slice.

Can some one help solve this one! :)

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- March 25th 2007, 06:57 PMmathman66Maximize the area of this slice.
A circle of radius r, you want to carve out a slice from the middle (like cutting a piece of pie) that makes 0 < θ < 2pi, and has perimeter P. Maximize the are of this slice.

Can some one help solve this one! :) - March 25th 2007, 08:08 PMSoroban
Hello, mathman66!

Are you sure of the wording of this problem?

Quote:

A circle of radius*r*, you want to cut out a slice from the middle

(like cutting a piece of pie) that makes 0 < θ < 2π, and has perimeter*P.*

Maximize the area of this slice.

If the radius*r*is given and the perimeter*P*is given,

. . the area of the sector is determined; it is a__constant__.

In fact: .A .= .½r(P - 2r)