A circle is inside a square. The radius of the circle is increasing at a rate of 1 meter per hour and the sides of the square are decreasing at a rate of 1 meter per hour. When the radius is 3 meters, and the sides are 23 meters, then how fast is the AREA outside the circle but inside the square changing? The rate of change of the area enclosed between the circle and the square is square meters per hour.
A circle is inside a square. The radius of the circle is increasing at a rate of 1 meter per hour and the sides of the square are decreasing at a rate of 1 meter per hour. When the radius is 3 meters, and the sides are 23 meters, then how fast is the AREA outside the circle but inside the square changing? The rate of change of the area enclosed between the circle and the square is square meters per hour.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A circle is inside a square.
The radius of the circle is increasing at a rate of 1 meter per hour and
the sides of the square are decreasing at a rate of 1 meter per hour.
When the radius is 3 meters, and the sides are 23 meters, then how fast
is the AREA outside the circle but inside the square changing?
The rate of change of the area enclosed between the circle and the
square is
square meters per hour.
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