Home
Back
Formula Used:
| From: | To: |
The edge length of a square can be calculated from the diameter of its circumcircle using the mathematical relationship between these two geometric properties. This calculation is fundamental in geometry and various practical applications.
The calculator uses the formula:
Where:
Explanation: The formula derives from the relationship between the diagonal of a square (which equals the diameter of the circumcircle) and its side length, where diagonal = side × √2.
Details: Calculating the edge length from the circumcircle diameter is essential in geometry problems, architectural design, engineering applications, and various construction projects where precise square dimensions are required.
Tips: Enter the diameter of the circumcircle in meters. The value must be positive and greater than zero. The calculator will compute the corresponding edge length of the square.
Q1: Why is there a √2 in the denominator?
A: The √2 factor comes from the Pythagorean theorem applied to the square, where the diagonal (circumcircle diameter) relates to the side length by a factor of √2.
Q2: What units should I use for the diameter?
A: You can use any consistent unit of length (meters, centimeters, inches, etc.). The result will be in the same units as your input.
Q3: Can this formula be used for rectangles?
A: No, this specific formula only applies to squares. Rectangles have different relationships between their side lengths and circumcircle diameter.
Q4: What if I have the radius instead of diameter?
A: Simply multiply the radius by 2 to get the diameter, then use the calculator with the diameter value.
Q5: How accurate is this calculation?
A: The calculation is mathematically exact. The accuracy of your result depends on the precision of your input measurement.