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Side Of Truncated Square Given Perimeter And Missing Length Calculator

Formula Used:

\[ S = \frac{P}{4} - (\sqrt{2} \times l_{Missing}) \]

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1. What is the Side of Truncated Square?

The Side of Truncated Square is the first particular type of line segment joining two adjacent vertices in a Truncated Square. It represents the length of the remaining sides after truncation.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ S = \frac{P}{4} - (\sqrt{2} \times l_{Missing}) \]

Where:

Explanation: This formula calculates the side length of a truncated square by subtracting the effect of missing lengths from the total perimeter divided by 4.

3. Importance of Side Calculation

Details: Calculating the side length of a truncated square is essential in geometry and architectural design, helping determine the dimensions of modified square shapes with cut corners.

4. Using the Calculator

Tips: Enter the perimeter and missing length in meters. Both values must be positive numbers (perimeter > 0, missing length ≥ 0).

5. Frequently Asked Questions (FAQ)

Q1: What is a truncated square?
A: A truncated square is a square shape that has had its corners cut off, resulting in a polygon with both square sides and new edges from the truncation.

Q2: Why is the square root of 2 used in the formula?
A: The square root of 2 appears because the missing length typically represents the diagonal cut of a square corner, which relates to the side length through the Pythagorean theorem.

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 missing lengths are equal on all corners.

Q4: What if I get a negative result?
A: A negative result indicates that the input values may be inconsistent with a valid truncated square geometry. Please verify your measurements.

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.

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