Re: The circular pool in the figure above has a tile border 3 feet wide (t
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05 Nov 2021, 07:13
We are given the area of the pool with the tile included, as well as the size of the tile border.
So with the tile border, the area of the pool is 225π, meaning that the length of the radius is 15 (because the area of a circle is πr^2, we take the square root of 225 to find the radius). \sqrt{225} = 15.
If the radius of the pool and tile is 15, and the tile border is 3 feet wide, then the radius of the pool alone is 15 - 3 = 12.
With this info, we can find the area of the pool alone using the formula for the area of a circle.
Area of circle = πr^2
π12^2 = 144π = area of the pool
Answer D