A circle is inside a square. The radius of the circle is increasing at a rate of 3 meters per minute and the sides of the square are decreasing at a rate of 3 meters per minute. When the radius is 2 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.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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A circle is inside a square.
The radius of the circle is increasing at a rate of 3 meters per minute and the sides of the square are
decreasing at a rate of 3 meters per minute.
When the radius is 2 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.
Transcribed Image Text:A circle is inside a square. The radius of the circle is increasing at a rate of 3 meters per minute and the sides of the square are decreasing at a rate of 3 meters per minute. When the radius is 2 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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