Diagonal of Truncated Square given Side, Area, and Missing Length Calculator

Diagonal of Truncated Square Formula:

\[ d = \sqrt{S^2 + A + (2 \times l_{Missing}^2)} \]

Side of Truncated Square (S):

Area of Truncated Square (A):

m²

Missing Length of Truncated Square (lMissing):

Diagonal of Truncated Square (d):

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1. What is the Diagonal of Truncated Square?

The diagonal of a truncated square is a line segment joining two opposite vertices of the truncated square. It represents the longest distance between any two points within the truncated square shape.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ d = \sqrt{S^2 + A + (2 \times l_{Missing}^2)} \]

Where:

\( d \) — Diagonal of Truncated Square (m)
\( S \) — Side of Truncated Square (m)
\( A \) — Area of Truncated Square (m²)
\( l_{Missing} \) — Missing Length of Truncated Square (m)

Explanation: This formula calculates the diagonal length by considering the square of the side length, the area, and twice the square of the missing length, then taking the square root of their sum.

3. Importance of Diagonal Calculation

Details: Calculating the diagonal of a truncated square is important in geometry and various engineering applications where precise measurements of irregular shapes are required for construction, design, and analysis purposes.

4. Using the Calculator

Tips: Enter the side length, area, and missing length of the truncated square in meters. All values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is a truncated square?
A: A truncated square is a square shape that has had portions removed from its corners, creating a shape with both straight and angled edges.

Q2: Why is the missing length important in this calculation?
A: The missing length accounts for the portions removed from the original square, which affects the overall geometry and diagonal measurement of the truncated shape.

Q3: Can this formula be used for other polygon shapes?
A: No, this specific formula is designed specifically for truncated squares and may not apply to other polygon shapes or different types of truncations.

Q4: What units should I use for the inputs?
A: The calculator accepts inputs in meters for length measurements and square meters for area. Ensure consistent units for accurate results.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise based on the provided formula. The accuracy of the result depends on the accuracy of the input values provided.