Question

21,951 Learners found this answer helpful

the radius of a circle can be approximated using the expression \\( \sqrt{\frac{a}{3}} \\). a circular kiddie swimming pool has an area of about 28 square feet. an inflatable full - size circular pool has an area of about 113 square feet. how much greater is the radius of the full - size pool than the radius of the kiddie pool? round to the nearest whole number.
about __ feet

Explanation:

Step1: Find radius of kiddie pool

Use formula \( r = \sqrt{\frac{A}{3}} \), \( A = 28 \).
\( r_{\text{kiddie}} = \sqrt{\frac{28}{3}} \approx \sqrt{9.333} \approx 3.055 \)

Step2: Find radius of full - size pool

\( A = 113 \), so \( r_{\text{full - size}} = \sqrt{\frac{113}{3}} \approx \sqrt{37.667} \approx 6.137 \)

Step3: Find the difference

Subtract the two radii: \( 6.137 - 3.055 \approx 3.082 \), round to nearest whole number is 3.

Answer:

3