1. What is the Width of Pentagon?

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 a regular pentagon.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( w \) — Width of Pentagon (m)
• \( P \) — Perimeter of Pentagon (m)
• \( \sqrt{5} \) — Square root of 5 (approximately 2.23607)

Explanation: This formula calculates the width of a regular pentagon based on its perimeter, using the mathematical relationship derived from pentagon geometry and the golden ratio.

3. Importance of Width Calculation

Details: Calculating the width of a pentagon is important in various geometric applications, architectural designs, and engineering projects where pentagonal shapes are used.

4. Using the Calculator

Tips: Enter the perimeter of the pentagon in meters. The value must be positive and greater than zero.

5. Frequently Asked Questions (FAQ)

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: How is the width different from the side length?
A: The width is the maximum horizontal distance across the pentagon, while the side length is the length of one individual side.

Q3: Can this formula be used for irregular pentagons?
A: No, this formula is specifically for regular pentagons where all sides and angles are equal.

Q4: What is the relationship between width and perimeter?
A: The width is proportional to the perimeter, with the constant factor being (1 + √5)/10.

Q5: How accurate is this calculation?
A: The calculation is mathematically exact for regular pentagons, as it's derived from geometric principles.