Arc Length from Diameter and Angle (Degrees)

Calculate arc length from circle diameter and central angle in degrees.

Author

Prof. Tomoko Sato

Math editorial contributor

Japanese behavioral economist at the London School of Economics, researching nudge theory applications in public health

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

20 units Diameter; 0 deg Central Angle (Degrees) =

0 units

Representative value from the Arc Length from Diameter and Angle (Degrees) reference table.

Reference Values

Browse 90 reference values with individual detail pages for quick lookup.

Browse all reference values

Arc Length from Diameter and Angle (Degrees)

Calculate arc length from circle diameter and central angle in degrees.

Calculated Result

Reference Table

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

Arc Length from Diameter and Angle (Degrees) Reference
ScenarioArc Length
2 units Diameter; 0 deg Central Angle (Degrees)0 units
2 units Diameter; 15 deg Central Angle (Degrees)0.261799 units
2 units Diameter; 30 deg Central Angle (Degrees)0.523599 units
2 units Diameter; 45 deg Central Angle (Degrees)0.785398 units
2 units Diameter; 60 deg Central Angle (Degrees)1.047198 units
2 units Diameter; 90 deg Central Angle (Degrees)1.570796 units
2 units Diameter; 120 deg Central Angle (Degrees)2.094395 units
2 units Diameter; 150 deg Central Angle (Degrees)2.617994 units
2 units Diameter; 180 deg Central Angle (Degrees)3.141593 units
2 units Diameter; 210 deg Central Angle (Degrees)3.665191 units
2 units Diameter; 240 deg Central Angle (Degrees)4.18879 units
2 units Diameter; 270 deg Central Angle (Degrees)4.712389 units
2 units Diameter; 300 deg Central Angle (Degrees)5.235988 units
2 units Diameter; 330 deg Central Angle (Degrees)5.759587 units
2 units Diameter; 360 deg Central Angle (Degrees)6.283185 units
4 units Diameter; 0 deg Central Angle (Degrees)0 units
4 units Diameter; 15 deg Central Angle (Degrees)0.523599 units
4 units Diameter; 30 deg Central Angle (Degrees)1.047198 units
4 units Diameter; 45 deg Central Angle (Degrees)1.570796 units
4 units Diameter; 60 deg Central Angle (Degrees)2.094395 units
4 units Diameter; 90 deg Central Angle (Degrees)3.141593 units
4 units Diameter; 120 deg Central Angle (Degrees)4.18879 units
4 units Diameter; 150 deg Central Angle (Degrees)5.235988 units
4 units Diameter; 180 deg Central Angle (Degrees)6.283185 units
4 units Diameter; 210 deg Central Angle (Degrees)7.330383 units
4 units Diameter; 240 deg Central Angle (Degrees)8.37758 units
4 units Diameter; 270 deg Central Angle (Degrees)9.424778 units
4 units Diameter; 300 deg Central Angle (Degrees)10.471976 units
4 units Diameter; 330 deg Central Angle (Degrees)11.519173 units
4 units Diameter; 360 deg Central Angle (Degrees)12.566371 units
10 units Diameter; 0 deg Central Angle (Degrees)0 units
10 units Diameter; 15 deg Central Angle (Degrees)1.308997 units
10 units Diameter; 30 deg Central Angle (Degrees)2.617994 units
10 units Diameter; 45 deg Central Angle (Degrees)3.926991 units
10 units Diameter; 60 deg Central Angle (Degrees)5.235988 units
10 units Diameter; 90 deg Central Angle (Degrees)7.853982 units
10 units Diameter; 120 deg Central Angle (Degrees)10.471976 units
10 units Diameter; 150 deg Central Angle (Degrees)13.089969 units
10 units Diameter; 180 deg Central Angle (Degrees)15.707963 units
10 units Diameter; 210 deg Central Angle (Degrees)18.325957 units
10 units Diameter; 240 deg Central Angle (Degrees)20.943951 units
10 units Diameter; 270 deg Central Angle (Degrees)23.561945 units
10 units Diameter; 300 deg Central Angle (Degrees)26.179939 units
10 units Diameter; 330 deg Central Angle (Degrees)28.797933 units
10 units Diameter; 360 deg Central Angle (Degrees)31.415927 units
20 units Diameter; 0 deg Central Angle (Degrees)0 units
20 units Diameter; 15 deg Central Angle (Degrees)2.617994 units
20 units Diameter; 30 deg Central Angle (Degrees)5.235988 units
20 units Diameter; 45 deg Central Angle (Degrees)7.853982 units
20 units Diameter; 60 deg Central Angle (Degrees)10.471976 units
20 units Diameter; 90 deg Central Angle (Degrees)15.707963 units
20 units Diameter; 120 deg Central Angle (Degrees)20.943951 units
20 units Diameter; 150 deg Central Angle (Degrees)26.179939 units
20 units Diameter; 180 deg Central Angle (Degrees)31.415927 units
20 units Diameter; 210 deg Central Angle (Degrees)36.651914 units
20 units Diameter; 240 deg Central Angle (Degrees)41.887902 units
20 units Diameter; 270 deg Central Angle (Degrees)47.12389 units
20 units Diameter; 300 deg Central Angle (Degrees)52.359878 units
20 units Diameter; 330 deg Central Angle (Degrees)57.595865 units
20 units Diameter; 360 deg Central Angle (Degrees)62.831853 units
40 units Diameter; 0 deg Central Angle (Degrees)0 units
40 units Diameter; 15 deg Central Angle (Degrees)5.235988 units
40 units Diameter; 30 deg Central Angle (Degrees)10.471976 units
40 units Diameter; 45 deg Central Angle (Degrees)15.707963 units
40 units Diameter; 60 deg Central Angle (Degrees)20.943951 units
40 units Diameter; 90 deg Central Angle (Degrees)31.415927 units
40 units Diameter; 120 deg Central Angle (Degrees)41.887902 units
40 units Diameter; 150 deg Central Angle (Degrees)52.359878 units
40 units Diameter; 180 deg Central Angle (Degrees)62.831853 units
40 units Diameter; 210 deg Central Angle (Degrees)73.303829 units
40 units Diameter; 240 deg Central Angle (Degrees)83.775804 units
40 units Diameter; 270 deg Central Angle (Degrees)94.24778 units
40 units Diameter; 300 deg Central Angle (Degrees)104.719755 units
40 units Diameter; 330 deg Central Angle (Degrees)115.191731 units
40 units Diameter; 360 deg Central Angle (Degrees)125.663706 units
100 units Diameter; 0 deg Central Angle (Degrees)0 units
100 units Diameter; 15 deg Central Angle (Degrees)13.089969 units
100 units Diameter; 30 deg Central Angle (Degrees)26.179939 units
100 units Diameter; 45 deg Central Angle (Degrees)39.269908 units
100 units Diameter; 60 deg Central Angle (Degrees)52.359878 units
100 units Diameter; 90 deg Central Angle (Degrees)78.539816 units
100 units Diameter; 120 deg Central Angle (Degrees)104.719755 units
100 units Diameter; 150 deg Central Angle (Degrees)130.899694 units
100 units Diameter; 180 deg Central Angle (Degrees)157.079633 units
100 units Diameter; 210 deg Central Angle (Degrees)183.259571 units
100 units Diameter; 240 deg Central Angle (Degrees)209.43951 units
100 units Diameter; 270 deg Central Angle (Degrees)235.619449 units
100 units Diameter; 300 deg Central Angle (Degrees)261.799388 units
100 units Diameter; 330 deg Central Angle (Degrees)287.979327 units
100 units Diameter; 360 deg Central Angle (Degrees)314.159265 units

Frequently Asked Questions

Common questions about Arc Length from Diameter and Angle (Degrees), formulas, and typical use cases.

What does the Arc Length from Diameter and Angle (Degrees) calculator do?

It helps with finding arc length when diameter is measured directly rather than radius.

What formula does the Arc Length from Diameter and Angle (Degrees) calculator use?

Arc length = π × diameter × angle / 360 for degree input.

What inputs are valid?

Diameter must be non-negative and angle is limited to 0-360°.

When would I use this?

finding arc length when diameter is measured directly rather than radius

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.

Editorial metadata (author, reviewer, and update date) is rendered on the page and in structured data. See our editorial policy, review process, and corrections policy.

For compliance-sensitive work, verify final values against project requirements, governing standards, and manufacturer documentation.