The radius of a circle can be approximated using the expression √(A/3). A circular kiddie swimming pool has an area about 28 square feet. An inflatable full-sized circular pool has an area of about 113 square feet. How much greater is the radius of the full-sized pool than the radius of the kiddie pool? round to the nearest whole number.
It says Hint: First find the radius of each pool by substituting for A in the expression. Divide by 3 before approximating square root.

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Answer:

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By using the expression to approximate the radius of a circle, we want to compare the radius of the two pools. We will find that the radius of the full-sized pool is 2 times larger than the radius of the kiddie pool.

The expression for the radius of a circle is:

R = √(A/3)

Where A is the area of said circle.

The circular kiddie swimming pool has an area of 28ft^2, we just replace that in the above expression to get:

R =  √(28 ft^2/3) = 3 ft

The full-sized pool has an area of 113 ft^2, then its radius is:

R' = √(113 ft^2/3) = 6 ft

To see how much greater is the radius of the full-sized pool than the radius of the kiddie pool, we just take the quotient:

R'/R = 6ft/3ft = 2

Meaning that the radius of the full-sized pool is 2 times larger than the radius of the kiddie pool.

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