A circle has a circumference of 31.4 meters. Find its radius and area.

Sun, 03 May 2026 04:38:46 +0000

**How A Circle with a Circumference of 31.4 Meters Reveals Key Radius and Area – Thoughtful and Practical Insights** Curious about how a circle measuring exactly 31.4 meters around its edge translates to measurable math like radius and area? This measurement isn’t just abstract geometry—it shows up in real-world applications across design, fitness, and urban planning. Curious about how such a circle maps to actual dimensions, and why this measurement matters right now? Let’s explore the math behind this widely discussed circle. A circle’s circumference is calculated using the formula: C = 2πr, where C is circumference, r is radius, and π (pi) is approximately 3.14. With a circumference of 31.4 meters, the formula simplifies neatly to 31.4 = 2 × 3.14 × r—a perfect match that makes solving for r straightforward. Rearranging, r = 31.4 / (2 × 3.14) gives a radius of 5 meters, turning theoretical geometry into concrete measurements. This simplicity makes it accessible for learners and professionals alike, especially when applied to real-life scenarios. Beyond the radius, the area of the circle reveals equally important spatial dimensions. Using the formula A = πr², plugging in r = 5 gives A = 3.14 × 5² = 3.14 × 25 ≈ 78.5 square meters. These numbers directly translate to usable space—whether designing a circular garden, planning a fitness track, or mapping community areas—making the math tangible and relevant.