Slope Percent from Angle (Degrees)

Convert an angle in degrees to slope percent using slope% = tan(θ) × 100.

Author

Dr. Amara Osei

Math editorial contributor

Ghanaian computational linguist with a PhD from MIT, specializing in NLP for low-resource African languages

Reviewed by

Prof. Hans Muller

Math content reviewer

German renewable energy engineer at TU Munich, pioneering grid-scale hydrogen storage solutions

Last updatedFebruary 22, 2026

PublishedFebruary 22, 2026

Table of Contents

  1. Reference values
  2. Calculator
  3. Reference table
  4. FAQs
  5. Methodology and review
  6. Related conversions

0 deg =

0 percent

Representative value from the Slope Percent from Angle (Degrees) reference table.

Reference Values

Browse 23 reference values with individual detail pages for quick lookup.

Browse all reference values

Slope Percent from Angle (Degrees)

Convert an angle in degrees to slope percent using slope% = tan(θ) × 100.

Calculated Result

Reference Table

Use this complete table for quick lookup and internal linking to specific value pages.

Slope Percent from Angle (Degrees) Reference
Angle (Degrees)Slope Percent
-80 deg-567.128182 percent
-75 deg-373.205081 percent
-70 deg-274.747742 percent
-60 deg-173.205081 percent
-50 deg-119.175359 percent
-45 deg-100 percent
-30 deg-57.735027 percent
-20 deg-36.397023 percent
-15 deg-26.794919 percent
-10 deg-17.632698 percent
-5 deg-8.748866 percent
0 deg0 percent
5 deg8.748866 percent
10 deg17.632698 percent
15 deg26.794919 percent
20 deg36.397023 percent
30 deg57.735027 percent
45 deg100 percent
50 deg119.175359 percent
60 deg173.205081 percent
70 deg274.747742 percent
75 deg373.205081 percent
80 deg567.128182 percent

Frequently Asked Questions

Common questions about Slope Percent from Angle (Degrees), formulas, and typical use cases.

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

It helps with converting slope angle to grade percent for design and terrain calculations.

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

Slope percent = tan(angle in degrees) × 100.

What inputs are valid?

Angles are valid except where tangent is undefined, such as 90° + 180°k.

When would I use this?

converting slope angle to grade percent for design and terrain calculations

Methodology and Review

This page combines a live calculator, precomputed reference values, and FAQ content from the same conversion definition to reduce mismatch between calculator output and lookup tables.

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