Angle (Degrees) from Slope Percent Reference Values

Convert slope percent to angle in degrees using angle = arctan(slope% / 100).

Author

Dr. Elif Yilmaz

Math editorial contributor

Turkish computational biologist at the Max Planck Institute, mapping gene regulatory networks in rare diseases

Reviewed for accuracy by

Prof. Kenji Tanaka

Math content reviewer

Japanese materials scientist at Kyoto University, known for breakthroughs in sustainable polymer research

Last updatedFebruary 22, 2026

PublishedFebruary 22, 2026

Table of Contents

  1. All value pages
  2. Reference table
  3. FAQs
  4. Methodology and review
  5. Related conversions

Reference Value Index

This page lists 21 reference values for quick browsing and lookup.

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All Reference Values

Reference Table

Angle (Degrees) from Slope Percent reference values
Slope PercentAngle (Degrees)
-500 percent-78.690068 deg
-300 percent-71.565051 deg
-200 percent-63.434949 deg
-150 percent-56.309932 deg
-100 percent-45 deg
-75 percent-36.869898 deg
-50 percent-26.565051 deg
-25 percent-14.036243 deg
-10 percent-5.710593 deg
-5 percent-2.862405 deg
0 percent0 deg
5 percent2.862405 deg
10 percent5.710593 deg
25 percent14.036243 deg
50 percent26.565051 deg
75 percent36.869898 deg
100 percent45 deg
150 percent56.309932 deg
200 percent63.434949 deg
300 percent71.565051 deg
500 percent78.690068 deg

Frequently Asked Questions

Frequently asked questions for Angle (Degrees) from Slope Percent and its reference values.

What does the Angle (Degrees) from Slope Percent calculator do?

It helps with converting grade percentages into slope angles for surveying and design.

What formula does the Angle (Degrees) from Slope Percent calculator use?

Angle (degrees) = arctan(slope percent / 100) × 180 / π.

What inputs are valid?

Any finite slope percent value is valid, including negative grades.

When would I use this?

converting grade percentages into slope angles for surveying and design

Methodology and Review

Each row on this page links to a value detail page derived from the same conversion data file as the main calculator and reference table. This reduces inconsistencies across page variants.

Editorial metadata and structured data are rendered across the converter page and linked value pages. Review policies are documented in our review process and editorial policy.