An architect is designing a circular atrium with a radius of 25 meters, surrounded by a rectangular garden of uniform width 6 meters. To maintain a seamless aesthetic, the total area of the garden must be exactly half the area of the entire circular region including the atrium and garden. What is the total area of the garden?

March 11, 2026

An architect is designing a circular atrium with a radius of 25 meters, surrounded by a rectangular garden of uniform width 6 meters. To maintain a seamless aesthetic, the total area of the garden must be exactly half the area of the entire circular region including the atrium and garden. What is the total area of the garden?

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Architectural Blueprint Hint (Architect)
So either the atrium radius is not 25, or the 6 meters is not the width, or the condition is not coupling.
Best interpretation: the width is 6 meters, and the half is not a constraint to solve for width, but a
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