Diameter to Square Meter Calculator
Here's a comprehensive table showing the conversion of diameter to square meters for circles, along with key information about this relationship:
Diameter to Square Meter Conversion Table
| Diameter (m) | Area (m²) |
|---|---|
| 1 | 0.785398 |
| 2 | 3.141593 |
| 3 | 7.068583 |
| 4 | 12.566371 |
| 5 | 19.634954 |
| 6 | 28.274334 |
| 7 | 38.484510 |
| 8 | 50.265482 |
| 9 | 63.617251 |
| 10 | 78.539816 |
| 11 | 95.033178 |
| 12 | 113.097336 |
| 13 | 132.732290 |
| 14 | 153.938040 |
| 15 | 176.714587 |
| 16 | 201.061930 |
| 17 | 226.980069 |
| 18 | 254.469005 |
| 19 | 283.528737 |
| 20 | 314.159265 |
Key Information
- Formula: The area (A) of a circle can be calculated from its diameter (d) using the formula:
A=π4d2A=4πd2 - Relationship: The area of a circle is directly proportional to the square of its diameter3.
- Conversion Factor: To convert from diameter to area, multiply the square of the diameter by π/4 (approximately 0.7854).
- Precision: The value of π used in calculations is typically 3.14159 or 22/7 for approximations3.
- Units: The diameter is measured in linear units (e.g., meters), while the area is in square units (e.g., square meters)3.
- Practical Application: This conversion is useful in various fields, including engineering, architecture, and physics, for calculating the area of circular objects or spaces4.
- Inverse Calculation: To find the diameter from a given area, use the formula:
d=2Aπd=2πA - Radius Relation: The radius is half the diameter. If you know the radius (r), you can calculate the area using:
A=πr2A=πr2 - Circumference Relation: The circumference (C) of a circle is related to its area by:
A=C24πA=4πC2 - Approximation: For quick estimations, the area of a circle with diameter 1 is approximately 0.79 square units1.
This table and information provide a comprehensive overview of the relationship between a circle's diameter and its area in square meters, which is essential for various calculations and practical applications.