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Ramp Length Calculator Math

Ramp Length Formula:

\[ \text{Length} = \sqrt{\text{rise}^2 + \text{run}^2} \]

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1. What is the Ramp Length Formula?

The ramp length formula calculates the actual length of a ramp using the Pythagorean theorem. It determines the diagonal distance when you know the vertical rise and horizontal run of the ramp.

2. How Does the Calculator Work?

The calculator uses the Pythagorean theorem:

\[ \text{Length} = \sqrt{\text{rise}^2 + \text{run}^2} \]

Where:

Explanation: This formula calculates the hypotenuse of a right triangle formed by the rise and run measurements.

3. Importance of Ramp Length Calculation

Details: Accurate ramp length calculation is crucial for construction, accessibility planning, wheelchair ramp design, and ensuring proper slope compliance with building codes and safety standards.

4. Using the Calculator

Tips: Enter both rise and run values in the same units (meters, feet, etc.). Both values must be positive numbers. The calculator will compute the diagonal ramp length.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for the calculation?
A: You can use any units (meters, feet, inches, etc.) as long as both rise and run are in the same units. The result will be in those same units.

Q2: How accurate is this calculation?
A: The calculation is mathematically precise based on the Pythagorean theorem. The accuracy depends on the precision of your input measurements.

Q3: Can this be used for curved ramps?
A: This formula is for straight ramps only. For curved ramps, more complex geometric calculations are required.

Q4: What is the maximum slope recommended for accessibility ramps?
A: ADA guidelines typically recommend a maximum slope of 1:12 (1 unit rise per 12 units run) for wheelchair accessibility.

Q5: How does this relate to the ramp angle?
A: The ramp angle can be calculated using trigonometry: angle = arctan(rise/run). The length calculation is independent of angle but related through the Pythagorean relationship.

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