A wire of length 7 is cut into two pieces which are then bent into the shape of a circle of radius r and a square of side s. a) Then the total area enclosed by the circle and square is the following function of s and r b) If we solve for s in terms of r, we can reexpress this area as the following function of r alone: c) Thus we find that to obtain maximal area we should let r= d) To obtain minimal area we should let r=
A wire of length 7 is cut into two pieces which are then bent into the shape of a circle of radius r and a square of side s. a) Then the total area enclosed by the circle and square is the following function of s and r b) If we solve for s in terms of r, we can reexpress this area as the following function of r alone: c) Thus we find that to obtain maximal area we should let r= d) To obtain minimal area we should let r=
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 34E
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A wire of length 7 is cut into two pieces which are then bent into the shape of a circle of radius r and a square of side s.
a) Then the total area enclosed by the circle and square is the following function of s and r
b) If we solve for s in terms of r, we can reexpress this area as the following function of r alone:
c) Thus we find that to obtain maximal area we should let r=
d) To obtain minimal area we should let r=
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