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Home » First, express 3 gallons as a fraction with denominator 4: - AssociationVoting

First, express 3 gallons as a fraction with denominator 4: - AssociationVoting

📅 May 17, 2026 👤 scraface

May 17, 2026

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📌 To find the ratio of the areas, we calculate the area of each shape.

📌 The area \(A\) of a circle with radius \(r\) is given by:

📌 A_{\text{pond}} = \pi r^2

📌 The area \(A\) of a semicircle with radius \(R\) is half the area of a circle:

📌 A_{\text{semicircle}} = \frac{1}{2} \pi R^2

📌 For the walkway with radius \(5r\):

📌 A_{\text{walkway}} = \frac{1}{2} \pi (5r)^2 = \frac{1}{2} \pi \times 25r^2 = \frac{25}{2} \pi r^2

📌 The area of the walkway is the area of the full circle with radius \(5r\) minus the area of the pond:

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