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Calculate Roof Length With Pitch

Roof Slope Formula:

\[ \text{Sloped Length} = \frac{\text{Run}}{\cos(\text{Pitch Angle})} \]

meters
radians

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1. What is Roof Slope Calculation?

Roof slope calculation determines the actual length of a roof along its slope based on the horizontal run and the pitch angle. This is essential for accurate material estimation and construction planning.

2. How Does the Calculator Work?

The calculator uses the roof slope formula:

\[ \text{Sloped Length} = \frac{\text{Run}}{\cos(\text{Pitch Angle})} \]

Where:

Explanation: The formula calculates the hypotenuse of a right triangle where the run is the adjacent side and the pitch angle is the angle between the adjacent side and hypotenuse.

3. Importance of Roof Slope Calculation

Details: Accurate roof length calculation is crucial for determining material requirements, cost estimation, and ensuring proper construction measurements for roofing projects.

4. Using the Calculator

Tips: Enter the horizontal run in meters and the pitch angle in radians. Both values must be positive, and the pitch angle should be less than π/2 (1.57 radians).

5. Frequently Asked Questions (FAQ)

Q1: Why use radians instead of degrees?
A: Trigonometric functions in mathematical calculations typically use radians. 1 degree = π/180 radians.

Q2: How do I convert degrees to radians?
A: Multiply degrees by π/180 (approximately 0.0174533).

Q3: What is a typical roof pitch angle?
A: Residential roofs typically have pitch angles between 0.35-0.70 radians (20-40 degrees).

Q4: Can I use this for any sloped surface?
A: Yes, this formula works for any right triangle where you know the horizontal run and the angle.

Q5: What if my pitch angle is in degrees?
A: Convert degrees to radians first: radians = degrees × π/180.

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