A circular garden with radius 7 meters is surrounded by a path 1 meter wide. Find the area of the path.

Mon, 04 May 2026 17:47:50 +0000

**How a Circular Garden with a 7-Meter Radius and a 1-Meter Path Really Takes Up Space**
In a growing number of backyard spaces across the U.S., a simple yet striking design is gaining quiet popularity: a circular garden surrounded by a narrow stone or gravel path one meter wide. With the garden itself spanning 7 meters from center to edge, the path adds a deliberate buffer that enhances flow, aesthetics, and usability—all while creating a measurable difference in space. If you’ve wondered how much room that path really covers, you’re not alone. This design isn’t just trendy—it’s grounded in geometry and practical landscaping, making it a topic of interest for homeowners, planners, and design-conscious readers searching for smarter outdoor solutions. **Why This Garden-Path Layout Is Gaining Real Attention**
The setup—7-meter circular garden with a 1-meter-wide bordering path—is emerging in conversations around functional outdoor spaces, especially in urban and suburban settings across the U.S. Trends favoring biophilic design, mindfulness, and low-maintenance landscapes have spotlighted compact, defined garden zones. The consistent 1-meter path width serves more than style: it creates clear navigation zones, prevents erosion around plant beds, and adds a soft but intentional transition between garden and walkway. Social media and home design blogs are increasingly highlighting these elements, showing how such layouts improve both functionality and curb appeal—without overwhelming limited space. **The Simple Math Behind the Path’s Area**
To understand the space taken by the path alone, we start with basic geometry. The garden is a full circle with a radius of 7 meters. The total radius including the path becomes 7 + 1 = 8 meters. The area of a circle is calculated with the formula π × radius².
The garden’s area is: π × (7)² = 49π square meters.
The total area including the path is: π × (8)² = 64π square meters.
Subtracting the garden from the full circle gives the path’s area: 64π − 49π = 15π square meters.
This means the surrounding path covers approximately 47.12 square meters, depending on π’s value—about 470 square inches more than the planted center. **Common Questions About Garden and Path Area Calculations**
**Q: Does the path go all the way to the center of the garden?**
No—while the garden itself spans 7 meters, the path begins just outside the 7-meter boundary, allowing room for plants, soil, and planters.