1. What is the Edge Length of Square of Concave Pentagon?

The Edge Length of Square of Concave Pentagon is the length of any edge of the square from which the Concave Pentagon is created by removing one triangle formed by the diagonals of the square.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( l_{e(Square)} \) — Edge Length of Square of Concave Pentagon (m)
• \( P \) — Perimeter of Concave Pentagon (m)
• \( \sqrt{2} \) — Square root of 2 (approximately 1.4142)

Explanation: This formula calculates the edge length of the original square based on the perimeter of the resulting concave pentagon.

3. Importance of Edge Length Calculation

Details: Calculating the edge length is important for understanding the geometric properties of concave pentagons and their relationship to the squares from which they are derived.

4. Using the Calculator

Tips: Enter the perimeter of the concave pentagon in meters. The value must be valid (perimeter > 0).

5. Frequently Asked Questions (FAQ)

Q1: What is a concave pentagon?
A: A concave pentagon is a five-sided polygon with at least one interior angle greater than 180 degrees, causing it to "cave inwards."

Q2: How is a concave pentagon formed from a square?
A: A concave pentagon is created by removing one triangle formed by the diagonals of the square from the original square.

Q3: What are the applications of this calculation?
A: This calculation is useful in geometric design, architectural planning, and mathematical studies of polygon transformations.

Q4: Are there limitations to this formula?
A: This formula applies specifically to concave pentagons formed by removing one triangle from a square along its diagonals.

Q5: Can this formula be used for other polygon transformations?
A: No, this formula is specific to the relationship between a square and the concave pentagon formed by removing one diagonal triangle.