Home
Back
Formula Used:
| From: | To: |
The width of a pentagon is the measurement or extent of horizontal distance from left to right of the pentagon. It represents the maximum distance between two parallel sides of the regular pentagon.
The calculator uses the mathematical formula:
Where:
Explanation: This formula establishes the precise mathematical relationship between the height and width of a regular pentagon using the golden ratio properties.
Details: Calculating the width of a pentagon is essential in geometry, architecture, and design applications where precise dimensions of pentagonal shapes are required for construction, manufacturing, or mathematical analysis.
Tips: Enter the height of the pentagon in meters. The value must be positive and greater than zero. The calculator will compute the corresponding width using the mathematical formula.
Q1: What is a regular pentagon?
A: A regular pentagon is a five-sided polygon where all sides are equal in length and all interior angles are equal (108 degrees each).
Q2: Why does the formula involve √5?
A: The square root of 5 appears in the formula due to the golden ratio (φ = (1+√5)/2) which is intrinsically related to the geometry of regular pentagons.
Q3: Can this calculator be used for irregular pentagons?
A: No, this calculator is specifically designed for regular pentagons where all sides and angles are equal.
Q4: What are practical applications of pentagon width calculation?
A: This calculation is used in architectural design, engineering projects, mathematical modeling, and various design fields where pentagonal shapes are employed.
Q5: How accurate is the calculation?
A: The calculation is mathematically precise for regular pentagons, with accuracy limited only by the precision of the input values and computational rounding.