Question: An ancient circular plaza in the Andes has a radius of $10$ meters. A smaller circular fountain is placed at its center with a radius of $2$ meters. What is the area of the plaza not occupied by the fountain?

["Discover the Mathematical Beauty of an Andean Plaza’s Design \nBeneath the vast, sun-drenched skies of the Andes, an ancient plaza stands as a quiet testament to centuries of planning and precision—its circular form free from modern geometry. With a radius of $10$ meters, the grand plaza unfolds beneath steep mountain backdrops, while in its heart rests a smaller circular fountain of $2$ meters diameter, symbolizing both function and serenity. For curious minds in the U.S., drawn to history, design, and spatial clarity, the question often surfaces: What remains of the plaza after removing the fountain’s space? This isn't just an equation—it’s a window into how ancient planners harmonized form, function, and mathematics across landscapes.", "Why This Question Matters in Modern Design and Culture \nAcross digital platforms, especially in Discover searches tied to history, architecture, and public spaces, interest in spatial ratios and practical geometry is growing. Users explore how ancient civilizations integrated nature with urban planning, and how these designs echo today’s sustainable approaches. The query reflects a broader trend: people seek smart, visually intuitive ways to understand historical places—not just visually, but through measurable data that connect past and present.", "Calculating the Open Space: A Simple Yet Insightful Problem \nTo find the plaza area not taken by the fountain, begin by calculating each circle’s space. The plaza, with a radius of $10$ meters, spans: \n\[\nA_{\ ext{plaza}} = \pi \ imes (10)^2 = 100\pi \ ext{ square meters}\n\] \nThe central fountain, with a radius of $2$ meters, occupies: \n\[\nA_{\ ext{fountain}} = \pi \ imes (2)^2 = 4\pi \ ext{ square meters}\n"]