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CalcBC and CalcAB
ASN
CalcBC
and
CalcAB
They're "Related"
Due:
11(A) and 12(B) March 2010
Read each line of information carefully.
I did a bit of editing in an attempt to guide you.
I.
Circle and square
A circle is inscribed in a square as shown in the figure.
The circumference
of the circle is increasing at a rate of 6 inches per second. As the circle
expands, the square expands to maintain the condition of tangency
(where
the side of the circle touches the side of the square)
.
Note:
A circle with
radius r
has
circumference C = 2
and
area A =
.
1.
Use the given information about the
circumference
and
how it is
changing
to figure out the
rate the radius changes
in terms of
.
Indicate units of
measure.
2.
Write an expression for the
perimeter
of the square
in terms of
r
.
3.
Find the rate
at which the
perimeter of the square is increasing
.
Keep answer as exact
value (no rounding of any kind).
Indicate units of measure.
4.
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This note was uploaded on 02/21/2011 for the course MATH 408C taught by Professor Knopf during the Spring '10 term at University of Texas at Austin.
 Spring '10
 KNOPF

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