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A circular garden has a radius of 18 m. A 2.5 m wide pathway is constructed around it. What is the approximate area of the pathway?
- 282 m²
- 302 m²
- 314 m²
- 328 m²
Correct answer: 302 m²
Solution
The pathway forms a ring with inner radius 18 m and outer radius 20.5 m. Its area is $\pi(R^2-r^2)=\pi(20.5^2-18^2)=\pi(420.25-324)=96.25\pi\approx 302$ m².
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