A circle is inside a square. The radius of the circle is decreasing ata rate of 5 meters per minute and the sides of the square are increasing at a rate of 5 meters per minute. When the radius is 6 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 minute.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 16EQ
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A circle is inside a square.
The radius of the circle is decreasing ata rate of 5 meters per minute and the sides of the square are
increasing at a rate of 5 meters per minute.
When the radius is 6 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 minute.
Transcribed Image Text:A circle is inside a square. The radius of the circle is decreasing ata rate of 5 meters per minute and the sides of the square are increasing at a rate of 5 meters per minute. When the radius is 6 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 minute.
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