Sam was asked to place the numbers shown below in order from greatest to least.
1 answer:
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Answer:
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 .