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The Area of Truncated Square refers to the total space enclosed within the boundaries of a truncated square, which is a square with its corners cut off. It is an important measurement in geometry and various practical applications.
The calculator uses the formula:
Where:
Explanation: The formula calculates the area by considering the extended square (side plus twice the missing length) and subtracting the areas of the four missing corner triangles.
Details: Calculating the area of truncated squares is essential in various fields including architecture, engineering, and design where precise area measurements are required for materials estimation and structural calculations.
Tips: Enter the side length and missing length in meters. Both values must be positive numbers. The calculator will compute the area of the truncated square.
Q1: What is a truncated square?
A: A truncated square is a square shape that has had its corners removed, creating a shape with eight sides instead of four.
Q2: How is this formula derived?
A: The formula is derived by calculating the area of the complete square (side + 2×missing length) and subtracting the areas of the four removed right triangles.
Q3: What are practical applications of this calculation?
A: This calculation is used in architectural design, floor planning, material cutting optimization, and various engineering applications where truncated square shapes are encountered.
Q4: Can this calculator handle different units?
A: The calculator uses meters as the default unit, but you can use any consistent unit of measurement as long as both inputs are in the same unit.
Q5: What if the missing length is zero?
A: If the missing length is zero, the shape becomes a perfect square, and the formula simplifies to the standard square area formula (side²).