Slope Calculator: Convert Percent, Degrees, and Ratio
Terramify editorial team · Updated August 22, 2026 · 3 min read
The essentials
- Slope percentage is rise divided by run times 100; degrees are the arctangent of that ratio.
- Driveways: stay under 15% (about 8.5°) for cars; 12% or less if you get snow.
- ADA paths: 5% max (1:20) for accessible routes; 8.33% (1:12) for ramps.
- Land is gentle under 5%, moderate 5–15%, steep over 15%.
- 10% slope equals 5.7°, 20% is 11.3°, and 45° is a 100% slope.
Most people get slope wrong because they mix up percent and degrees. A 45-degree hill is not a 45% slope – it's 100%. That mistake leads to driveways too steep, gutters pitched incorrectly, or paths that fail inspection. Here's what experts check first: the ratio of rise to run, and which unit the local code expects.
The math is simple: slope percent = (rise / run) × 100. Degrees are the arctangent of that ratio. For a 2-foot rise over 20 feet of run, you get 10%. That equals about 5.7 degrees. Use the slope calculator below to switch between percent, degrees, and ratio without doing trigonometry by hand.
Slope Calculator: Percent, Degrees, Ratio
Enter the rise and run in any unit – feet, meters, inches – and the calculator gives you the slope in all three forms instantly. It also converts between percent, degrees, and ratio if you already have one value. For example, 15% is roughly 8.5 degrees, and 1:20 is exactly 5%.
If you're working from a site plan, the Land planner can read the real slope of a drawn plot directly. That gives you the actual ground shape, not just a single line.
Slope Calculator
Try the tool →Indicative estimate · not a survey or a design · see methodology
What Is a Steep Slope? Site Planning Bands
Site planners use three informal bands to classify terrain:
- Gentle: under 5% – easy to build on, minimal grading.
- Moderate: 5% to 15% – typical residential lots, may need retaining walls on downhill sides.
- Steep: over 15% – requires special engineering, erosion control, and often a geotechnical report.
These bands help you quickly judge whether a lot is feasible for your project. A 10% slope slopes enough to affect drainage, but it's not a cliff. At 20% (11.3 degrees), you're in challenging territory for driveways and foundations.
Driveway Slope Limits: What Experts Check
For residential driveways, typical municipal guidance sets a maximum of 15% – about 8.5 degrees. Where snow or ice is common, experts recommend staying at 12% or lower. That's because icy slopes above 12% become difficult or dangerous for vehicles to climb, especially with front-wheel drive.
Run the numbers: a 12% slope means a 1.2-foot rise per 10 feet of run. At 15%, it's 1.5 feet per 10. That extra 0.3 feet per 10 seems small, but it makes a real difference in winter. Check your local code before pouring concrete.
ADA Compliance for Walks and Ramps
If you're designing an accessible route, the ADA standards are strict:
- Accessible route: maximum 5% slope (1:20). That's a 1-foot rise over 20 feet.
- Ramps: up to 8.33% (1:12). A 1-foot rise needs at least 12 feet of ramp length.
Use the calculator to verify your design. For a 6-inch step, a 1:12 ramp requires 6 feet of run. But that same rise as an accessible route would need 10 feet – so you often see a ramp rather than a path.
Percent to Degrees Quick Reference
Here are conversions to keep in your head:
- 10% = 5.7°
- 20% = 11.3°
- 45° = 100%
Most slope questions are answered by these three. If you need others, the calculator handles any value.
How to Use the Slope Calculator for Land Planning
When you have a property survey, pick two points on a contour or edge where you know the elevation difference (rise) and horizontal distance (run). Input those numbers. If you have a drawing with contour lines, plot the area in the Land planner and it calculates the actual slope of the terrain.
This is the same method surveyors use: measure rise over run, not the distance along the ground surface. The calculator does the rest.
Common Mistakes to Avoid
- Using degrees when the code says percent, or vice versa. Always check the unit.
- Measuring run as the sloped distance, not the horizontal. That understates the slope.
- Forgetting that slopes over 15% are steep – you may need retaining walls, drains, or permits.
Start With the Range, Then Get Precise
First, figure out what range your situation falls into: gentle, moderate, or steep. That tells you whether you need special design. Then use the slope calculator to get exact values for your plans, permits, or build details.
Whether you're grading a backyard, planning a driveway, or checking an ADA path, the tool above converts everything for you. For a full plot analysis, use the Land planner to see slopes across your entire property.
Frequently asked questions
How do I convert slope percent to degrees?
Use the formula: degrees = atan(rise / run) in degrees. For example, a 10% slope (rise/run = 0.10) is about 5.7 degrees. The slope calculator does this instantly.
What is a 1:12 slope in percent?
1:12 means 1 unit of rise for every 12 units of run, which is 8.33% (1 divided by 12 times 100). That's the maximum slope for an ADA-compliant ramp.
What is the maximum slope for a driveway?
Typical residential guidance suggests a maximum of 15% (about 8.5°), and 12% or less if you experience snow or ice. Always check your local code.
Is a 10% slope steep?
A 10% slope falls into the moderate range (5–15%). It's noticeable but not extreme. For driveways, it's within typical limits, but for accessible paths it's too steep (over 5%).
How do I calculate slope percentage from rise and run?
Divide the vertical rise by the horizontal run and multiply by 100. For example, a rise of 1 foot over a run of 10 feet is (1/10) × 100 = 10%.
What does 100% slope mean?
A 100% slope means the rise equals the run, which is a 45° angle. So 100% is equivalent to 45 degrees.
What is the difference between slope percent and degrees?
Percent is (rise/run) × 100, while degrees is the arctangent of (rise/run). They are not proportional; a 100% slope equals 45°, not 100°.
Sources cited
- Slope formula: slope % = rise / run × 100; degrees = atan(rise / run)Source: geometry
- Max driveway slope (typical US residential guidance): 15 % (about 8.5°); 12 % recommended where snow or ice is commonSource: common municipal driveway standards · verified 2026-08
- ADA accessible route max slope: 5 % (1:20); ramps up to 8.33 % (1:12)Source: ADA Standards 2010 · verified 2026-08
- Gentle / moderate / steep land: under 5 % gentle; 5–15 % moderate; over 15 % steep (typical site-planning bands)Source: site planning practice
- Conversion: 10 % slope = 5.7°; 20 % = 11.3°; 45° = 100 %Source: geometry
Sources and author
Terramify editorial team
We write every guide from public sources, verify each figure against its source and date it. Calculations follow the methodology page. A licensed reviewer is being added; until then nothing here replaces a surveyor, architect or engineer.
Indicative estimate · not a survey or a design · see methodology
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