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Right triangle angles calculator

The calculated angle is measured from the adjacent side. Use two lengths expressed in the same units. For X/Z work, decide whether your X difference represents radius or diameter before entering the rise.

Formula and inputs

θ = atan(opposite / adjacent); hypotenuse = √(adjacent² + opposite²).

Worked example

A 40 mm run and 30 mm rise produce a 50 mm hypotenuse and a 36.869898° angle.

Use the result in your setup

Confirm the input dimensions and unit system against your drawing before calculating. Keep full precision during a calculation and round only the final value to suit the measurement or programming requirement. A numerical result does not account for a machine’s complete setup, workholding or control configuration.