A 度からパーセントへの勾配の計算 converts an angle in degrees into a percentage slope. This conversion is widely used in construction, civil engineering, road design, and landscaping to determine the steepness of a surface. Since slopes are commonly expressed in both degrees and percentages, this calculator helps professionals and DIY builders ensure proper gradient measurements.
Importance of Degree to Percent Slope Calculation:
- Essential in Road Construction: Ensures roads have safe inclines for vehicles.
- Used in Landscaping & Drainage Planning: Helps create properly graded surfaces for water runoff.
- Vital in Architecture & Structural Engineering: Ensures compliance with building codes for ramps and walkways.
- Applies to Cycling & Skiing Terrain Design: Helps assess the difficulty of slopes in outdoor sports.
式
この Percent Slope (Grade) 次の式を使用して計算されます。
Percent Slope (%) = tan(θ) × 100
どこ：
- θ（シータ） = Slope angle in degrees.
- tan（θ） = Tangent of the angle.
変換を理解する:
- A 0度の傾斜 に対応している 0%.
- A 45度の傾斜 等しい 100％.
- A 90度の傾斜 is infinite (%), as it represents a vertical rise.
This conversion is crucial for determining slopes in real-world applications.
Degree to Percent Slope Reference Table
The table below provides quick reference values for common degree-to-percent slope conversions:
| 角度 (度) | Percent Slope (%) |
|---|---|
| 1° | 1.75％ |
| 5° | 8.75％ |
| 10° | 17.63％ |
| 15° | 26.79％ |
| 20° | 36.40％ |
| 25° | 46.63％ |
| 30° | 57.74％ |
| 35° | 70.02％ |
| 40° | 83.91％ |
| 45° | 100.00％ |
This table helps engineers and planners quickly find slope percentages for different angles without manual calculations.
Example of Degree to Percent Slope Calculator
と仮定します road incline has an angle of 12度。式を使用すると、次のようになります。
Percent Slope (%) = tan(12°) × 100
Percent Slope (%) = 0.2126 × 100 = 21.26％
This means the road has a 21.26％勾配, indicating that for every 100 horizontal units, the elevation rises by 21.26ユニット.
最も一般的な FAQ
A degree slope measures the angle of elevation, while a percent slope represents the rise over the run as a percentage. A 45-degree slope equals 100% slope.
Percent slope is critical for designing roads, driveways, ramps, and drainage systems, ensuring safety and compliance with regulations.
Yes. A slope greater than 100％ means the rise is steeper than the run. For example, a 60度の傾斜 についてです 173％.