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Roof Slope Angle Calculator

Roof Slope Angle Formula:

\[ \text{Angle (deg)} = \arctan\left(\frac{\text{Rise}}{\text{Run}}\right) \times \left(\frac{180}{\pi}\right) \]

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1. What is Roof Slope Angle?

The roof slope angle is the angle between the roof surface and the horizontal plane, expressed in degrees. It determines how steep a roof is and affects water drainage, material choice, and structural requirements.

2. How Does the Calculator Work?

The calculator uses the trigonometric formula:

\[ \text{Angle (deg)} = \arctan\left(\frac{\text{Rise}}{\text{Run}}\right) \times \left(\frac{180}{\pi}\right) \]

Where:

Explanation: The ratio of rise to run gives the tangent of the angle, which is then converted from radians to degrees.

3. Importance of Roof Slope Calculation

Details: Proper roof slope is crucial for water drainage, snow load capacity, material durability, and meeting building code requirements. Different roofing materials have minimum slope requirements.

4. Using the Calculator

Tips: Enter the vertical rise and horizontal run in meters. Both values must be positive numbers. The calculator will output the angle in degrees.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between slope angle and slope ratio?
A: Slope angle is measured in degrees, while slope ratio is expressed as rise:run (e.g., 4:12). Both describe roof steepness but in different ways.

Q2: What is a typical roof slope angle?
A: Common residential roof slopes range from 4° to 45°. Flat roofs typically have 1°-10° slope, while steep roofs can exceed 45°.

Q3: How does roof slope affect material choice?
A: Some materials (like shingles) require minimum slopes for proper water shedding, while others (like membrane roofing) are designed for low slopes.

Q4: Can I use this for other slope calculations?
A: Yes, this formula works for any slope calculation where you know the vertical rise and horizontal run.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise. Accuracy depends on the precision of your rise and run measurements.

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