A circle is inside a square. The radius of the circle is decreasing at a rate of 3 meters per hour and the sides of the square are increasing at a rate of 2 meters per hour. When the radius is 2 meters, and the sides are 19 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.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question
A circle is inside a square.
The radius of the circle is decreasing at a rate of 3 meters per hour
and the sides of the square are increasing at a rate of 2 meters per
hour.
When the radius is 2 meters, and the sides are 19 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.
Add Work
Check Answer
Transcribed Image Text:A circle is inside a square. The radius of the circle is decreasing at a rate of 3 meters per hour and the sides of the square are increasing at a rate of 2 meters per hour. When the radius is 2 meters, and the sides are 19 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. Add Work Check Answer
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