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The Length of Curve formula calculates the arc length in parabolic curves based on the central angle for portion of curve and the degree of curve. It provides an accurate measurement of curve length in various engineering and geometric applications.
The calculator uses the formula:
Where:
Explanation: The formula calculates the curve length by multiplying 100 with the central angle for portion of curve and dividing by the degree of curve.
Details: Accurate curve length calculation is crucial for road design, railway construction, and various engineering projects where precise curve measurements are required for proper alignment and construction.
Tips: Enter central angle for portion of curve and degree of curve in radians. Both values must be positive numbers greater than zero for accurate calculation.
Q1: What units should be used for input values?
A: Both central angle for portion of curve and degree of curve should be entered in radians for accurate results.
Q2: Can this formula be used for circular curves?
A: Yes, this formula is applicable for calculating the length of both parabolic and circular curves.
Q3: What is the significance of the constant 100 in the formula?
A: The constant 100 is a scaling factor that converts the angular measurements into appropriate length units.
Q4: Are there limitations to this formula?
A: This formula assumes ideal curve conditions and may require adjustments for complex curve geometries or specific engineering requirements.
Q5: How accurate is this calculation for real-world applications?
A: The calculation provides theoretical curve length. For practical applications, additional factors such as material properties and construction tolerances should be considered.