A circle is inside a square. The radius of the circle is decreasing at a rate of 1 meter per minute and the sides of the square are decreasing at a rate of 3 meters per minute. When the radius is 3 meters, and the sides are 18 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 minute.
A circle is inside a square. The radius of the circle is decreasing at a rate of 1 meter per minute and the sides of the square are decreasing at a rate of 3 meters per minute. When the radius is 3 meters, and the sides are 18 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 minute.
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 decreasing at a rate of 1 meter per minute and the sides of the square are
decreasing at a rate of 3 meters per minute.
When the radius is 3 meters, and the sides are 18 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 minute.
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