## a circle is inscribed in a square. the circumference of the circle is increading at a constant rate of 6 inches per second. As the circle ex

Question

a circle is inscribed in a square. the circumference of the circle is increading at a constant rate of 6 inches per second. As the circle expands, the aquare expands to maintain the condition of tangency. find th rate at which the perimeter of the square is increasing

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2 months 2021-09-25T06:36:05+00:00 1 Answer 0 views 0

The rate at which Perimeter of the square is increasing is .

Step-by-step explanation:

Given:

Circumference of the circle = Rate of change of in circumference = 6 in/secs

We need to find the rate at which the perimeter of the square is increasing

Solution:

Now we know that; Now we know that;

side of the square= diameter of the circle

side of the square = Now Perimeter of the square is given by 4 times length of the side. Now we need to find the rate at which Perimeter is increasing so we will find the derivative of perimeter. But So we get; Hence The rate at which Perimeter of the square is increasing is .