Home
Back
Formula Used:
| From: | To: |
The Short Chord Slice of Pentagram is the edge length of the regular pentagon which form inside the Pentagram when all the chords are drawn. It represents a fundamental geometric measurement in pentagram construction.
The calculator uses the formula:
Where:
Explanation: This formula calculates the short chord slice by subtracting one-fifth of the pentagram's perimeter from the chord length, providing the measurement of the inner pentagon edge.
Details: Calculating the short chord slice is essential for geometric analysis of pentagrams, architectural design involving pentagonal shapes, and mathematical studies of regular polygons and their properties.
Tips: Enter the chord length and perimeter values in meters. Both values must be positive numbers. The calculator will compute the short chord slice of the pentagram.
Q1: What is a pentagram?
A: A pentagram is a five-pointed star polygon formed by extending the sides of a regular pentagon, creating various geometric relationships between chord lengths and slices.
Q2: How is the chord length related to the pentagram?
A: The chord length represents the diagonal distance between non-adjacent vertices of the pentagon from which the pentagram is constructed.
Q3: What practical applications does this calculation have?
A: This calculation is used in geometric design, architecture, sacred geometry studies, and mathematical analysis of regular star polygons.
Q4: Are there other ways to calculate the short chord slice?
A: Yes, the short chord slice can also be derived using trigonometric relationships based on the golden ratio properties of pentagrams.
Q5: What units should be used for input values?
A: The calculator accepts values in meters, but any consistent unit of length can be used as long as both inputs use the same unit.