A circular garden has a diameter of 14 meters. If a path of 1 meter width is constructed around the garden, what is the area of the path? - Redraw

Understanding the Context

The circular garden with a surrounding path combines simplicity with strategic planning—key elements in today’s design trends. Social media, home décor blogs, and gardening forums show increasing engagement around compact, sustainable courtyards. A 14-meter diameter garden offers enough room for relaxation and greenery, while adding a 1-meter-wide path opens the space to new uses: walking routes, seating areas, or even small planting beds. This setup supports gradual expansion, mismatched materials, and personalization—allowing homeowners to adapt their outdoor space over time without major renovations.

This concept resonates particularly in cities where outdoor square footage is limited, making every inch vital. Designers and homeowners alike recognize that thoughtful pathways don’t just define space—they enhance safety, circulation, and emotional comfort.

How to Calculate the Area of the Path Around a Circular Garden

The area of the path is found by calculating the difference between the larger circle (garden plus path) and the smaller garden circle. With a garden diameter of 14 meters, the radius is 7 meters. Adding 1 meter for a uniform outward path gives a total diameter of 16 meters—so a radius of 8 meters.

Key Insights

The area of a circle is π × r². The garden area is:
π × (7)² = 153.94 square meters (using π ≈ 3.1416)

The total area including the path is:
π × (8)² = 201.06 square meters

Subtracting the garden gives the path area:
201.06 − 153.94 = 47.12 square meters

This precise calculation confirms that even a narrow 1-meter buffer adds significant usable space—offering a balanced structure without overcrowding.

Common Questions About the Circular Garden Path

Final Thoughts

Q: How much extra area does a 1-meter-wide path add around a 14-meter circular garden?
The path increases the total coverage from 153.94 m² to 201.06 m²—an expansion of nearly 47 square meters, ideal for walking paths or small garden zones.

Q: Can the path width vary without changing the math?
Yes, increasing or decreasing the path width directly alters both the outer radius and final area—keeping the 1-meter width simple for predictability.

Q: What materials work best for a garden path?
Natural stone, gravel, pavers, and permeable concrete are popular choices. Each adds durability and aesthetics while supporting sustainable drainage.

Opportunities and Considerations

A circular garden with a path offers ease of use: easy walking, reduced tripping hazards, and clear spatial boundaries. Its intuitive shape supports low-maintenance expansion. Still, expectations should remain realistic—this is a long-term investment, not a fast fix. The path enhances, but doesn’t transform, in moments. Over time, homeowners and designers find benefits in how the layout accommodates future changes, seasonal plantings, and varied user needs.

Misconceptions About Garden Paths