Diameter to Square Meters Converter
Here's a comprehensive table that covers all you need to know about converting diameter to square meters for circular areas:
| Aspect | Details |
|---|---|
| Formula | A = π × (d/2)² |
| Where | A = Area in square meters π ≈ 3.14159 d = Diameter in meters |
| Steps | 1. Divide diameter by 2 to get radius 2. Square the radius 3. Multiply by π |
| Example | For d = 10 m: 1. r = 10/2 = 5 m 2. r² = 5² = 25 m² 3. A = π × 25 ≈ 78.54 m² |
| Quick Estimation | A ≈ 0.8 × d² |
| Units | Input: Diameter in meters (m) Output: Area in square meters (m²) |
| Precision | Use at least 4 decimal places for π for accuracy |
| Common Errors | • Forgetting to halve the diameter • Using diameter instead of radius in the formula • Incorrect unit conversion |
| Variations | • Area from radius: A = π × r² • Diameter from area: d = 2 × √(A/π) |
| Applications | • Flooring • Landscaping • Construction • Engineering |
This table provides a quick reference for converting diameter to square meters, including the formula, step-by-step process, an example, common errors to avoid, and practical applications123. Remember that the area is always expressed in square units, in this case, square meters (m²).