A circle has a circumference of 31.4 cm. Calculate the area of the circle.

Sat, 02 May 2026 16:45:22 +0000

**Why Is Understanding Circle Geometry Still Relevant in 2024?**
A quick question trending in smart device forums and home DIY spaces: *What’s the area of a circle with a circumference of 31.4 cm?* While it might sound simple, this problem reflects everyday applications—from designing circular furniture to calculating storage space in kitchens and garages. With increasing interest in precise measurements for home improvement and product planning, grasping the connection between circumference and area helps users make informed decisions. This fundamental geometry concept remains essential in education, engineering, and everyday problem-solving. **A circle has a circumference of 31.4 cm. Calculate the area of the circle.**
This query is gaining attention across the U.S., driven by growing home workshops, furniture customization, and smart tech projects that rely on accurate spatial calculations. While many people assume basic formulas are intuitive, revisiting the process reveals how precise design impacts quality and function. Understanding how to convert a measurable circumference into area allows better planning—whether building a table, choosing wheels for a cart, or designing decorative elements. Calculating the area begins with the circumference. For any circle, circumference equals 2πr, or approximately 6.283 × radius. Given a circumference of 31.4 cm, we solve:
r = 31.4 / (2π) ≈ 31.4 / 6.283 ≈ 5 cm Once the radius is found, the area formula (A = πr²) gives:
A = π × (5)² = 25π ≈ 25 × 3.14 = 78.5 cm²