1. What is Length of Truncated Square?

The Length of Truncated Square is the measurement or extent of a truncated square from end to end. A truncated square is a square that has had its corners cut off, creating a shape with both straight and angled sides.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( l \) — Length of Truncated Square (m)
• \( S \) — Side of Truncated Square (m)
• \( P \) — Perimeter of Truncated Square (m)

3. Formula Explanation

Details: This formula calculates the length of a truncated square by considering both the original side length and the perimeter after truncation. The square root of 2 factors account for the diagonal relationships created by the truncation process.

4. Using the Calculator

Tips: Enter the side length and perimeter of the truncated square in meters. Both values must be positive numbers. The calculator will compute the length of the truncated square.

5. Frequently Asked Questions (FAQ)

Q1: What is a truncated square?
A: A truncated square is a geometric shape formed by cutting off the corners of a square, resulting in an octagon-like shape with both straight and angled sides.

Q2: Why is the square root of 2 used in the formula?
A: The square root of 2 appears because of the 45-degree angles created when truncating the square corners, which involve diagonal relationships.

Q3: Can this formula be used for any truncated square?
A: This formula applies specifically to truncated squares where the truncation is symmetrical and the resulting shape maintains regular proportions.

Q4: What units should I use for the inputs?
A: The calculator uses meters, but you can use any consistent unit of measurement as long as both inputs use the same unit.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise based on the geometric properties of truncated squares, assuming perfect measurements.