Length of Truncated Square given Perimeter, Missing Length and Truncated Side Calculator

Formula Used:

\[ l = \sqrt{2} \times \left( \frac{P}{4} - S_{\text{Truncated}} + l_{\text{Missing}} \right) \]

Perimeter of Truncated Square (P):

Truncated Side of Truncated Square (S_Truncated):

Missing Length of Truncated Square (l_Missing):

Length of Truncated Square (l):

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1. What is the Length of Truncated Square?

The Length of Truncated Square is the measurement or extent of truncated square from end to end. It represents the full length of the square before truncation occurred.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ l = \sqrt{2} \times \left( \frac{P}{4} - S_{\text{Truncated}} + l_{\text{Missing}} \right) \]

Where:

\( l \) — Length of Truncated Square (m)
\( P \) — Perimeter of Truncated Square (m)
\( S_{\text{Truncated}} \) — Truncated Side of Truncated Square (m)
\( l_{\text{Missing}} \) — Missing Length of Truncated Square (m)

Explanation: This formula calculates the original length of a truncated square by considering its perimeter, the truncated side length, and the missing length portion.

3. Importance of Length Calculation

Details: Calculating the length of a truncated square is important in geometry and engineering applications where precise measurements of modified geometric shapes are required for design and construction purposes.

4. Using the Calculator

Tips: Enter the perimeter in meters, truncated side length in meters, and missing length in meters. All values must be positive numbers with the truncated side and missing length being non-negative.

5. Frequently Asked Questions (FAQ)

Q1: What is a truncated square?
A: A truncated square is a square that has had portions removed or cut off from its corners or sides, resulting in a modified geometric shape.

Q2: When is this calculation useful?
A: This calculation is useful in architectural design, engineering projects, and geometric analysis where truncated square shapes are encountered.

Q3: What units should I use?
A: The calculator uses meters as the default unit, but you can use any consistent unit of measurement as long as all inputs are in the same unit.

Q4: Can the result be negative?
A: No, the length of a truncated square should always be a positive value. If you get a negative result, check your input values.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise based on the input values. The accuracy depends on the precision of your measurements.