Formula Used:
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The formula calculates the edge length of a regular tetrahedron from its insphere radius. It provides a direct relationship between these two geometric properties of a tetrahedron.
The calculator uses the formula:
Where:
Explanation: The formula establishes a direct proportional relationship between the edge length and insphere radius of a regular tetrahedron.
Details: Calculating edge length from insphere radius is crucial for geometric analysis, 3D modeling, and understanding the spatial properties of tetrahedral structures in various applications including crystallography and molecular modeling.
Tips: Enter the insphere radius in meters. The value must be positive and valid. The calculator will compute the corresponding edge length of the tetrahedron.
Q1: What is a regular tetrahedron?
A: A regular tetrahedron is a polyhedron with four equilateral triangular faces, four vertices, and six edges of equal length.
Q2: What is the insphere radius of a tetrahedron?
A: The insphere radius is the radius of the largest sphere that can be inscribed within the tetrahedron, touching all four faces.
Q3: Can this formula be used for irregular tetrahedrons?
A: No, this formula applies only to regular tetrahedrons where all edges are equal in length.
Q4: What are practical applications of this calculation?
A: This calculation is used in geometry, 3D graphics, molecular chemistry (for tetrahedral molecules), and structural engineering.
Q5: How accurate is this calculation?
A: The calculation is mathematically exact for regular tetrahedrons, with accuracy depending on the precision of the input value.