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Slope Calculator

Calculate slope grade, angle, ratio, and length

Slope Grade

5.00%

Angle

2.86°

Ratio

20.0:1

Grade

Gentle

Units
Slope %

5.00%

Angle

2.86°

Ratio

20.0:1

Slope Length

100.12 ft

Slope Details

Horizontal Run100.00 ft
Vertical Rise5.00 ft
Slope Length100.12 ft
GradeGentle

Rise vs Run

Run (ft)100.00
Rise (ft)5.00

Common Standards

ADA Ramp Max8.33% (1:12)
Driveway Max15%
Lawn Drainage Min2%
Your Slope5.00%

Example Calculations

1Yard Drainage Slope (100 ft run, 5 ft rise)

Inputs

Horizontal Run100 ft
Vertical Rise5 ft
MethodRise and Run

Result

Slope Grade5.00%
Angle2.86°
Ratio20.0:1
Slope Length100.12 ft
GradeGentle

Slope % = (5/100) × 100 = 5%. Angle = atan(5/100) × (180/π) = 2.86°. Ratio = 100/5 = 20:1. Length = √(25 + 10000) = 100.12 ft.

2ADA Ramp Check (12 ft run, 1 ft rise)

Inputs

Horizontal Run12 ft
Vertical Rise1 ft
MethodRise and Run

Result

Slope Grade8.33%
Angle4.76°
Ratio12.0:1
Slope Length12.04 ft
GradeModerate

Slope % = (1/12) × 100 = 8.33%. This is the ADA maximum for wheelchair ramps (1:12 ratio). Angle = atan(1/12) × (180/π) = 4.76°.

Frequently Asked Questions

Q

How do you calculate slope percentage?

Slope percentage = (Rise / Run) × 100. For example, a 5 ft rise over 100 ft run = (5/100) × 100 = 5% slope. This is the most common way to express grade in construction.

  • Formula: (Rise / Run) × 100 = slope %
  • Example: 3 ft rise over 50 ft run = 6% slope
  • A 100% slope = 45° angle (rise equals run)
  • Negative slope means downhill in the direction measured
  • Always measure rise vertically and run horizontally
Q

What is a 2% slope in inches per foot?

A 2% slope equals approximately 1/4 inch per foot (0.24 inches per foot exactly). This is the minimum recommended slope for lawn drainage and flat roof water runoff.

  • 2% = 0.24 in/ft ≈ 1/4 in per foot
  • Minimum for lawn drainage away from foundation
  • Flat roofs (built-up or membrane): 1/4 in/ft minimum
  • Over 10 ft run at 2%: 2.4 in total rise
  • Use a string level or laser to verify grade in the field
Slope %Inches per FootRatioCommon Use
1%0.12 in/ft100:1Minimal drainage
2%0.24 in/ft50:1Lawn, flat roofs
5%0.60 in/ft20:1Yard grading
8.33%1.00 in/ft12:1ADA ramp maximum
15%1.80 in/ft6.7:1Max driveway slope
Q

What is the maximum slope for a driveway?

Most building codes limit residential driveways to 15% slope (about 8.5 degrees). Steeper driveways cause traction problems in wet or icy conditions and make it difficult to stop safely.

  • Code maximum: 15% (8.5°) for most jurisdictions
  • Ideal range: 5–10% for comfortable daily use
  • Above 10%: consider a heated driveway for cold climates
  • Transition at street: keep first 5 ft under 8% for vehicle clearance
  • Curves on steep driveways need reduced grade for traction
ApplicationMax SlopeAngleNotes
Parking lot5%2.9°ADA accessible areas max 2%
Residential driveway15%8.5°Check local codes
Garage entry ramp20%11.3°Short runs only
Road (highway)6%3.4°DOT standard
Q

What is the ADA maximum slope for a ramp?

The ADA requires wheelchair ramps to have a maximum slope of 8.33% (1:12 ratio), meaning 1 inch of rise for every 12 inches of run. Ramp runs cannot exceed 30 feet without a landing.

  • Maximum slope: 8.33% (1:12 ratio)
  • Maximum single run: 30 ft before a landing is required
  • Landing size: minimum 60" × 60" at top, bottom, and turns
  • Cross slope (side-to-side): maximum 2% (1:48)
  • Handrails required on both sides for rises over 6 inches
Q

How do you convert slope angle to percentage?

Slope % = tan(angle) × 100. For example, a 5° angle: tan(5°) = 0.0875, so 0.0875 × 100 = 8.75% slope. Conversely, angle = atan(slope% / 100) × (180/π).

  • Angle to %: tan(degrees) × 100
  • % to angle: atan(% / 100) × 57.2958
  • 45° = 100% slope (rise equals run)
  • Small angles are nearly linear: 5° ≈ 8.75%, 10° ≈ 17.6%
  • Slope % can exceed 100% (steep hills, staircases)
Angle (degrees)Slope %RatioReal-World Example
1°1.75%57:1Nearly flat ground
5°8.75%11.4:1ADA ramp (close to max)
10°17.6%5.7:1Steep driveway
30°57.7%1.7:1Steep hillside
45°100%1:1Rise equals run

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Last Updated: Mar 11, 2026

This calculator is provided for informational and educational purposes only. Results are estimates and should not be considered professional financial, medical, legal, or other advice. Always consult a qualified professional before making important decisions. UseCalcPro is not responsible for any actions taken based on calculator results.

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