1. What is the Perimeter of Pentagon?

The Perimeter of Pentagon is the total distance around the edge of the Pentagon. It represents the sum of the lengths of all five sides of a regular pentagon.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( P \) — Perimeter of Pentagon (m)
• \( h \) — Height of Pentagon (m)

3. Formula Explanation

Functions Used: tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Variables Used:

• Perimeter of Pentagon - The total distance around the edge of the Pentagon (m)
• Height of Pentagon - The distance between one side of Pentagon and its opposite vertex (m)

4. Using the Calculator

Tips: Enter the height of the pentagon in meters. The value must be greater than 0.

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.

Q2: Why use tan(0.314) in the formula?
A: The angle 0.314 radians (approximately 18°) is derived from the geometry of a regular pentagon and represents half of the central angle between two adjacent vertices.

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 are typical perimeter values for pentagons?
A: Perimeter values depend on the size of the pentagon. For a pentagon with height 1m, the perimeter would be approximately 3.25m.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise for regular pentagons, though real-world measurements may introduce some error.