1. Check the picture below. It illustrates an upper view of the fountain, which forms a circle with radius 5 ft, and the patio, with radius equal to 50 ft.
2. Area(fountain)=Area(Circle with radius 5)=[tex] \pi * 5^{2}=25 \pi [/tex] (ft squared)
Area(patio)= Area(Circle with radius 50)=[tex]\pi * 50^{2}=2500 \pi[/tex] (ft squared)
3. Area (uncovered) = Area(patio)-Area(fountain)=[tex]2500 \pi-25 \pi=2475 \pi [/tex](ft squared)
Answer: [tex]2475 \pi[/tex] ft squared
