Elevation Grade Calculator

Calculate slope grade as a percentage, angle in degrees, and ratio from rise and run or elevation change and horizontal distance.

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Mode

Result

10% grade

Moderate slope at 5.71°.

Angle
5.71°
Slope ratio
1:10
Rise
10 ft
Horizontal run
100 ft
Slope length
100.5 ft

Classification

Moderate slope — noticeable incline, common for roads and ramps.

Also in Dimensions & Conversions

Slope & Grade

Calculate slope grade, angle, and ratio from elevation change

An elevation grade calculator determines the steepness of a slope from rise and run measurements. It outputs the grade as a percentage, the angle in degrees, and the slope ratio, which are used in road design, drainage planning, landscaping, and accessibility compliance.

How grade is calculated

Grade is the ratio of vertical rise to horizontal run, expressed as a percentage. A 10-foot rise over a 100-foot run is a 10 percent grade. The angle in degrees is the arctangent of that ratio.

Slope ratio expresses the same relationship as rise-to-run, such as 1:10 or 1:4. All three representations describe the same physical slope; the choice of format depends on the application.

Grade (%) = (Rise / Run) x 100

Divide the vertical rise by the horizontal run and multiply by 100 to get the percentage grade.

Angle = arctan(Rise / Run)

The slope angle in degrees is the inverse tangent of the rise-to-run ratio.

Where grade calculations are used

Road engineers use grade to design safe driving gradients. Landscape architects use it to plan drainage and retaining walls. ADA accessibility standards specify maximum ramp grades. Construction crews use grade to set forms and verify that finished surfaces drain correctly.

Frequently asked questions

What is a 1:12 slope ratio?

A 1:12 ratio means one unit of rise for every 12 units of horizontal run. This equals about 8.3 percent grade or 4.76 degrees and is the maximum slope allowed for ADA-compliant ramps.

Is grade the same as slope angle?

No. Grade is a percentage ratio of rise to run. Slope angle is measured in degrees. A 100 percent grade equals 45 degrees, not 90.

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