Question

George plans to cover his circular pool for the upcoming winter season. The pool has a diameter of 20 feet and the cover extends 12 inches beyond the edge of the pool. A rope runs along the edge of the cover to secure it in place.
A. What is the area of the pool cover?
B. What is the length of the rope?

Answer 1

For the circular cover we have:

A) The area is 379.94 ft²

B) The length of the rope must be 68.2 ft

How to get the area of the cover?

Remember that the area of a circle of radius R is given by the formula:

$A = pi*R^2$

Where pi = 3.14

In this case, the diameter of the pool is 20ft, then the radius is:

R = 20ft/2 = 10ft

And it must extend 12 inches beyond, then the radius of the cover must be:

R = 10ft + 12in

Now, we know that 1ft = 12 in, then we can rewrite the radius as:

R = 10ft +1ft = 11ft

Then the area of the cover is:

$A = 3.14*(11ft)^2 = 379.94 ft^2$

B) now we want to get the length of the rope, we know that the rope runs along the cover, then the length of the rope must be equal to the circumference of the cover.

Remember that the circumference of a circle of radius R is:

$C = 2*pi*R$

Then the length of the rope will be:

$C = 2*3.14*11ft = 68.2ft$

If you want to learn more about circles:

brainly.com/question/1559324

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