Solution: The area of the path is the difference between the area of the larger circle (garden + path) and the garden itself. The radius of the larger circle is $ r + w $. Thus, the area of the path is:

Mon, 04 May 2026 10:31:30 +0000

**Discover the Hidden Precision Behind Circular Landscaping: How Area Calculations Shape Outdoor Design** Why is a simple shape-based calculation becoming a topic of quiet interest among homeowners, landscape professionals, and urban planners across the United States? The answer lies in a precise geometric principle: the difference in area between a larger circle enclosing a garden and the garden itself. Though it sounds technical, this concept is quietly transforming how people visualize outdoor spaces—especially as outdoor living grows in importance for modern lifestyles. It’s not just about garden aesthetics—it’s about space optimization, privacy, and thoughtful design. At its core, the solution involves calculating the area between two concentric circles: the outer radius $ r + w $, which defines the boundary of a path plus garden, and the inner radius $ r $, representing the garden’s true footprint. The difference? That’s the path itself—a functional yet often overlooked element in landscape planning. Understanding this area difference supports smarter design choices, from choosing materials to estimating costs and maximizing usable space. ### Is This Geometry Trending in America?