Formula Used:
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The formula calculates the side length of a regular dodecagon (12-sided polygon) when given the diagonal that spans across three sides. This relationship is derived from the geometric properties of regular polygons.
The calculator uses the formula:
Where:
Explanation: The formula establishes a proportional relationship between the side length and the diagonal that spans three sides in a regular dodecagon.
Details: Calculating the side length of a dodecagon is essential in geometry, architecture, and engineering applications where regular dodecagonal shapes are used.
Tips: Enter the diagonal across three sides in meters. The value must be positive and valid.
Q1: What is a regular dodecagon?
A: A regular dodecagon is a 12-sided polygon where all sides are equal in length and all interior angles are equal.
Q2: How is this formula derived?
A: The formula is derived from the geometric relationships and trigonometric properties of regular polygons.
Q3: Can this calculator be used for irregular dodecagons?
A: No, this formula only applies to regular dodecagons where all sides and angles are equal.
Q4: What are the practical applications of this calculation?
A: This calculation is useful in architectural design, engineering projects, and geometric pattern creation.
Q5: How accurate is this calculation?
A: The calculation is mathematically exact for regular dodecagons, though practical measurements may have some margin of error.