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7. The bottom of a circular swimming pool

with a diameter of 36 feet is painted blue.
How many square feet are blue?

1 Answer

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Hello!

The answer is:

1017.88 square feet are blue.

Why?

To calculate how many square feet are blue, we need to calculate the area of the bottom of the circular swimming pool.

We need to remember that we can calculate the area of any circle using the following formula:


Area_(circle)=\pi radius^(2)

Now, we know that the diameter of the bottom is equal to 36 feet, so, we can calculate the radius of the bottom using the following formula:


diameter=2radius\\\\radius=(diameter)/(2)

So,


radius=(36feet)/(2)=18feet

Then, calculating the area we have:


Area_(bottom)=\pi radius^(2)=\pi 18ft^(2)=1017.88ft^(2)

Hence, we have that 1017.88 square feet are blue.

Have a nice day!

User Isj
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