1. What is Pentagon Width?

The width (or diameter) of a regular pentagon is the distance between two parallel sides when the pentagon is oriented with one side flat at the bottom. It's an important measurement in geometry and design applications.

2. How Does the Calculator Work?

The calculator uses the pentagon width formula:

Where:

• \( s \) — Length of one side of the regular pentagon
• \( \sqrt{2} \) — Square root of 2 (approximately 1.4142)

Explanation: The formula accounts for the geometric relationship between the side length and the overall width of a regular pentagon.

3. Importance of Pentagon Width Calculation

Details: Knowing the width of a pentagon is essential in architectural design, engineering projects, and any application where regular pentagonal shapes are used.

4. Using the Calculator

Tips: Simply enter the length of one side of the regular pentagon. The side length must be a positive number.

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° each).

Q2: Is the width the same as the diameter?
A: Yes, in the context of a regular pentagon, the width refers to the distance between two parallel sides, which is equivalent to its diameter.

Q3: Can this calculator be used for irregular pentagons?
A: No, this calculator only works for regular pentagons where all sides and angles are equal.

Q4: What units should I use?
A: You can use any units (cm, inches, meters, etc.) as long as you're consistent. The result will be in the same units as your input.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise for perfect regular pentagons. Real-world measurements may vary slightly due to manufacturing tolerances.