A circular fountain 10 feet in diameter has a circular walk 3 feet wide paved around it. What is the area of the walk?

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Grade: Education Subject: mathematics
A circular fountain 10 feet in diameter has a circular walk 3 feet wide paved around it. What is the area of the walk?

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Hi there!

• Radius = [tex]\dfrac{10}{2}[/tex] ft = 5 ft.

Area of the fountain = πr² = 3.14 x (5)² = 78.5 ft²

•Radius for fountain n' walk = [tex]\dfrac{10 + 3}{2}[/tex] = [tex]\dfrac{13}{2}[/tex] = 6.5 ft

Area of fountain n' walk = πr² = 3.14 x (6.5)² = 132. 6 ft²

| Area of th' Circular walk |

132.6 - 78.5 ft² = 54. 1 ft²
ar( Larger circle ) - ar( Smaller circle )

Hence,
The area of the walk around the fountain is 54. 1 ft²

~ Hope it helps!