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The Diameter of Circumcircle of Square is the diameter of the circle that passes through all four vertices of a square. It is the longest possible distance across the circumcircle that encloses the square.
The calculator uses the formula:
Where:
Details: The formula demonstrates the relationship between the circumcircle (circle passing through all vertices) and incircle (circle tangent to all sides) of a square. The circumcircle diameter is exactly √2 times larger than the incircle diameter due to the geometric properties of squares.
Tips: Enter the diameter of the incircle of the square in meters. The value must be positive. The calculator will compute the corresponding diameter of the circumcircle.
Q1: Why is the circumcircle diameter √2 times the incircle diameter?
A: This relationship comes from the geometry of squares where the diagonal (circumcircle diameter) is √2 times the side length, and the side length equals the incircle diameter.
Q2: What are the units for this calculation?
A: The units can be any consistent length unit (meters, centimeters, inches, etc.) as long as both diameters use the same unit.
Q3: Does this formula work for all squares?
A: Yes, this formula applies to all perfect squares regardless of size, as it's based on the fundamental geometric properties of squares.
Q4: What is the practical application of this calculation?
A: This calculation is useful in engineering, architecture, and manufacturing where circular components need to fit precisely around or within square structures.
Q5: How accurate is this calculation?
A: The calculation is mathematically exact when using the precise value of √2. The calculator provides results with 6 decimal places for practical accuracy.