Slope Angle Calculator
Convert slope m to angle in degrees
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Slope Angle Formula
θ = arctan(m)
Slope is the tangent of the angle a line makes with the positive x-axis. Taking arctangent of the slope converts that ratio back into an angle.
⚠ The result is shown in degrees. Negative slopes produce negative angles using the principal arctangent value.
How Slope Angle Works
A line slope is rise over run, which matches tangent in a right triangle. The inverse tangent recovers the angle from that slope.
Inverse Tangent
θ = arctan(m).
Negative Slopes
Negative m gives a downward angle.
💡 Example: For slope m=1, θ=arctan(1)=45°.
Applications of Slope Angle
Ramps Roofs Line Graphs Surveying
Frequently Asked Questions
What is a slope angle calculator?▼
It converts a line slope into an angle measured in degrees.
What is the slope to angle formula?▼
The formula is θ = arctan(m), where m is slope.
How do I use this calculator?▼
Enter the slope value and click Calculate.
Can slope angle be negative?▼
Yes. A negative slope gives a negative angle relative to the positive x-axis.
Where is slope angle used?▼
It is used in roads, ramps, roofs, line graphs, surveying, and coordinate geometry.
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