A circular park with 8 m diameter is surrounded by 0.5 m wide path. What is the percentage increase in area?

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Accepted Answer

1. Find radii: original radius $r_1=4$ m. New radius $r_2=4.5$ m.

2. Areas: $A_1=\pi r_1^2=16\pi$, $A_2=\pi r_2^2=20.25\pi$.

3. Percent increase: $\displaystyle \frac{A_2-A_1}{A_1}	imes100=\frac{4.25\pi}{16\pi}	imes100=26.5625\%$.

4. Round to two decimals: **26.56%**, so choice (c).

FINAL_ANSWER: c

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