🗺️ Slope Percent to Angle Converter

Slope - ( Percentage / Angle ) Convert - convert values in-browser instantly with local processing.

📐 工作原理與說明

坡度換算：百分比坡度 = 垂直升高 ÷ 水平距離 × 100；角度坡度 θ = arctan(百分比 ÷ 100)；由角度反求百分比 = tan(θ) × 100。千分比 = 百分比 × 10，坡度比值記作 1 : (100 ÷ 百分比)。

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Formula / Note

Source / Standard

Definition of slope

Slope i = tan(alpha) = h/l, the ratio of rise to horizontal distance

GB 50026-2020, Code for engineering surveying

Percentage slope

Percentage slope = tan(alpha) × 100%

JTG D20-2017, Design Specification for Highway Alignment

Inverse conversion

alpha = arctan(i), recovering the inclination from slope

GB 50026-2020, Code for engineering surveying

Small-angle approximation

For gentle slopes i ≈ alpha in radians; the approximation fails for steep slopes

JTG D20-2017, Design Specification for Highway Alignment

📚 深度解析：坡度（百分比 ↔ 角度）換算

百分比 → 角度

坡度 10%：deg=atan(10/100)=5.71°；含義為每 100m 水平距升高 10m。

角度 → 百分比

坡度 30°：pct=tan(30°)×100≈57.74%，高差與平距之比約為 0.577。

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坡度（百分比/角度）換算。免費線上工具，純前端處理，資料不上傳，保護隱私安全。

坡度（百分比/角度）換算