Utilnaro
Category: Converters

Angle and Slope Converter

Convert degrees, radians, gradians - and percent slope.

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Converting Angle and slope.

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You can type here too — it converts the other way.

1 ° = 0.0174533 rad

Exact by definition

The same value in other units

percent grade
1.74551 %
Settings

Digits kept in the answer. Automatic keeps six, which hides floating-point noise without losing anything real.

Convert a whole list

Paste one conversion per line, written the way you would say it: "5 km to mi". Handy for a column copied out of a spreadsheet.

Details

About this tool

Converts between degrees, radians, gradians, arcminutes, arcseconds and mils, and between angles and the slope notations used in construction: percent grade, per mille, mm per metre. Slope is the trigonometric part - a 100 % grade is 45°, not 90°.

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Ready-made conversions

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Good to know

Questions people actually ask

Why is a 100 % slope 45 degrees?
Percent grade is rise divided by run, so 100 % means one metre up for every metre along - a 45° angle. A vertical wall has no finite percentage at all, which is why grade converts through a tangent rather than a fixed factor.