A 度数到百分比斜率计算器 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 测量.
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 & 结构 工程：确保 符合 with building codes for ramps and walkways.
- Applies to Cycling & Skiing Terrain Design: Helps assess the difficulty of slopes in outdoor sports.
公式
- Percent Slope (Grade) 使用以下公式计算：
Percent Slope (%) = tan(θ) × 100
地点：
- θ（西塔） = Slope angle in degrees.
- tan(θ) = 切线 的角度。
了解转换：
- A 0度倾斜 对应于 0%.
- A 45度倾斜 等于 100%.
- A 90度倾斜 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） | 百分比斜率 (%) |
|---|---|
| 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
假设一个 道路坡度 has an angle of 12度。 使用公式：
Percent Slope (%) = tan(12°) × 100
Percent Slope (%) = 0.2126 × 100 = 21.26%
This means the road has a 21.26% 坡度, indicating that for every 100 horizontal units, the elevation rises by 21.26单位.
最常见的常见问题解答
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度倾斜 大约是 173%.