A circle is inside a square. The radius of the circle is decreasing at a rate of 1 meter per day and the sides of the square are increasing at a rate of 3 meters per day. When the radius is 3 meters, and the sides are 16 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 day.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A circle is inside a square.
The radius of the circle is decreasing at a rate of 1 meter per day and the sides of the square are increasing
at a rate of 3 meters per day.
When the radius is 3 meters, and the sides are 16 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 day.
Transcribed Image Text:A circle is inside a square. The radius of the circle is decreasing at a rate of 1 meter per day and the sides of the square are increasing at a rate of 3 meters per day. When the radius is 3 meters, and the sides are 16 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 day.
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