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The Central Angle for Portion of Curve can be described as the angle between the two radii in a curved section of a road or path. It is a fundamental measurement in road design and surveying that helps determine the curvature and alignment of transportation routes.
The calculator uses the formula:
Where:
Explanation: The formula calculates the central angle by multiplying the degree of curve by the length of curve and dividing by 100.
Details: Accurate central angle calculation is crucial for road design, railway alignment, and surveying projects. It helps engineers determine the proper curvature for safe and efficient transportation routes, ensuring smooth transitions between straight and curved sections.
Tips: Enter the degree of curve in radians and the length of curve in meters. Both values must be positive numbers greater than zero for accurate calculation.
Q1: What is the difference between degree of curve and central angle?
A: The degree of curve defines the sharpness of the curve, while the central angle measures the angular displacement between the two radii of the curve portion.
Q2: Can this calculator be used for both road and railway curves?
A: Yes, the formula applies to both road and railway curve calculations as it's based on geometric principles of circular curves.
Q3: What units should be used for input values?
A: Degree of curve should be in radians and length of curve in meters for consistent results.
Q4: How accurate is this calculation method?
A: This method provides exact results for arc definition of curves and is widely accepted in engineering practice for circular curve calculations.
Q5: What are typical values for degree of curve in road design?
A: Typical values range from 0.5 to 5 degrees (approximately 0.0087 to 0.0873 radians) depending on design speed and road classification.