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The Arc Length of Semi Ellipse is the length of the curved edge of the Semi Ellipse, or it is the half perimeter of the complete Ellipse. It represents the distance along the curved boundary of the semi-elliptical shape.
The calculator uses the formula:
Where:
Explanation: The formula calculates the arc length by subtracting twice the semi-axis length from the total perimeter of the semi-ellipse.
Details: Calculating the arc length of a semi-ellipse is important in various engineering and architectural applications, particularly in designing curved structures, arches, and elliptical components where precise measurements of curved boundaries are required.
Tips: Enter the perimeter of the semi-ellipse and the semi-axis length in meters. Both values must be positive numbers greater than zero for accurate calculation.
Q1: What is the difference between arc length and perimeter?
A: The perimeter includes both the curved arc and the straight line (diameter), while the arc length refers only to the curved portion of the semi-ellipse.
Q2: Can this formula be used for complete ellipses?
A: No, this formula is specifically designed for semi-ellipses. For complete ellipses, different formulas involving elliptic integrals are typically used.
Q3: What are typical applications of semi-elliptical shapes?
A: Semi-elliptical shapes are commonly used in architecture (arches, bridges), engineering (mechanical components), and various design applications where curved forms are required.
Q4: How accurate is this calculation method?
A: This method provides exact results for the given formula, assuming accurate input values. The accuracy depends on the precision of the perimeter and semi-axis measurements.
Q5: What units should be used for input values?
A: The calculator accepts values in meters, but any consistent unit system can be used as long as both inputs are in the same units.