1. What is Area of Concave Pentagon?

The Area of Concave Pentagon is the total quantity of plane enclosed by the boundary of the Concave Pentagon. It is calculated from the square from which the concave pentagon is derived by removing one triangle formed by the diagonals.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( A \) — Area of Concave Pentagon (m²)
• \( l_{e(Square)} \) — Edge Length of Square of Concave Pentagon (m)

Explanation: The formula calculates the area by taking three-quarters of the square of the edge length of the original square.

3. Importance of Area Calculation

Details: Calculating the area of geometric shapes is fundamental in mathematics, engineering, architecture, and various fields that require spatial measurements and calculations.

4. Using the Calculator

Tips: Enter the edge length of the square in meters. The value must be positive and valid.

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 at least one vertex to point inward.

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

Q3: Why is the area three-quarters of the square area?
A: When one triangle (which has area 1/4 of the square) is removed from the square, the remaining area is 3/4 of the original square area.

Q4: Can this formula be used for any concave pentagon?
A: No, this specific formula applies only to concave pentagons formed by removing one triangle from a square along its diagonals.

Q5: What are the practical applications of this calculation?
A: This calculation is useful in geometric design, architectural planning, and mathematical problem solving involving composite shapes.