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度数到百分比斜率计算器

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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 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.
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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) = Tangent of the angle.

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 (%)
1.75%
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.

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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

What is the difference between degree and percent slope?

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.

Can a slope exceed 100%?

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% .

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