Convertools

Sector Perimeter from Radius and Angle (Degrees)

Calculate sector perimeter from radius and central angle in degrees.

Author

Prof. Kenji Tanaka

Math editorial contributor

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

Reviewed by

Dr. Emeka Nwosu

Math content reviewer

Nigerian legal scholar with an SJD from Yale, focused on international trade law and African continental free trade agreements

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

10 units Radius; 0 deg Central Angle (Degrees) =

20 units

Representative value from the Sector Perimeter from Radius and Angle (Degrees) reference table.

Reference Values

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

Browse all reference values

Sector Perimeter from Radius and Angle (Degrees)

Calculate sector perimeter from radius and central angle in degrees.

Calculated Result

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Reference Table

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

Sector Perimeter from Radius and Angle (Degrees) Reference
ScenarioSector Perimeter
1 units Radius; 0 deg Central Angle (Degrees)2 units
1 units Radius; 15 deg Central Angle (Degrees)2.261799 units
1 units Radius; 30 deg Central Angle (Degrees)2.523599 units
1 units Radius; 45 deg Central Angle (Degrees)2.785398 units
1 units Radius; 60 deg Central Angle (Degrees)3.047198 units
1 units Radius; 90 deg Central Angle (Degrees)3.570796 units
1 units Radius; 120 deg Central Angle (Degrees)4.094395 units
1 units Radius; 150 deg Central Angle (Degrees)4.617994 units
1 units Radius; 180 deg Central Angle (Degrees)5.141593 units
1 units Radius; 210 deg Central Angle (Degrees)5.665191 units
1 units Radius; 240 deg Central Angle (Degrees)6.18879 units
1 units Radius; 270 deg Central Angle (Degrees)6.712389 units
1 units Radius; 300 deg Central Angle (Degrees)7.235988 units
1 units Radius; 330 deg Central Angle (Degrees)7.759587 units
1 units Radius; 360 deg Central Angle (Degrees)8.283185 units
2 units Radius; 0 deg Central Angle (Degrees)4 units
2 units Radius; 15 deg Central Angle (Degrees)4.523599 units
2 units Radius; 30 deg Central Angle (Degrees)5.047198 units
2 units Radius; 45 deg Central Angle (Degrees)5.570796 units
2 units Radius; 60 deg Central Angle (Degrees)6.094395 units
2 units Radius; 90 deg Central Angle (Degrees)7.141593 units
2 units Radius; 120 deg Central Angle (Degrees)8.18879 units
2 units Radius; 150 deg Central Angle (Degrees)9.235988 units
2 units Radius; 180 deg Central Angle (Degrees)10.283185 units
2 units Radius; 210 deg Central Angle (Degrees)11.330383 units
2 units Radius; 240 deg Central Angle (Degrees)12.37758 units
2 units Radius; 270 deg Central Angle (Degrees)13.424778 units
2 units Radius; 300 deg Central Angle (Degrees)14.471976 units
2 units Radius; 330 deg Central Angle (Degrees)15.519173 units
2 units Radius; 360 deg Central Angle (Degrees)16.566371 units
5 units Radius; 0 deg Central Angle (Degrees)10 units
5 units Radius; 15 deg Central Angle (Degrees)11.308997 units
5 units Radius; 30 deg Central Angle (Degrees)12.617994 units
5 units Radius; 45 deg Central Angle (Degrees)13.926991 units
5 units Radius; 60 deg Central Angle (Degrees)15.235988 units
5 units Radius; 90 deg Central Angle (Degrees)17.853982 units
5 units Radius; 120 deg Central Angle (Degrees)20.471976 units
5 units Radius; 150 deg Central Angle (Degrees)23.089969 units
5 units Radius; 180 deg Central Angle (Degrees)25.707963 units
5 units Radius; 210 deg Central Angle (Degrees)28.325957 units
5 units Radius; 240 deg Central Angle (Degrees)30.943951 units
5 units Radius; 270 deg Central Angle (Degrees)33.561945 units
5 units Radius; 300 deg Central Angle (Degrees)36.179939 units
5 units Radius; 330 deg Central Angle (Degrees)38.797933 units
5 units Radius; 360 deg Central Angle (Degrees)41.415927 units
10 units Radius; 0 deg Central Angle (Degrees)20 units
10 units Radius; 15 deg Central Angle (Degrees)22.617994 units
10 units Radius; 30 deg Central Angle (Degrees)25.235988 units
10 units Radius; 45 deg Central Angle (Degrees)27.853982 units
10 units Radius; 60 deg Central Angle (Degrees)30.471976 units
10 units Radius; 90 deg Central Angle (Degrees)35.707963 units
10 units Radius; 120 deg Central Angle (Degrees)40.943951 units
10 units Radius; 150 deg Central Angle (Degrees)46.179939 units
10 units Radius; 180 deg Central Angle (Degrees)51.415927 units
10 units Radius; 210 deg Central Angle (Degrees)56.651914 units
10 units Radius; 240 deg Central Angle (Degrees)61.887902 units
10 units Radius; 270 deg Central Angle (Degrees)67.12389 units
10 units Radius; 300 deg Central Angle (Degrees)72.359878 units
10 units Radius; 330 deg Central Angle (Degrees)77.595865 units
10 units Radius; 360 deg Central Angle (Degrees)82.831853 units
20 units Radius; 0 deg Central Angle (Degrees)40 units
20 units Radius; 15 deg Central Angle (Degrees)45.235988 units
20 units Radius; 30 deg Central Angle (Degrees)50.471976 units
20 units Radius; 45 deg Central Angle (Degrees)55.707963 units
20 units Radius; 60 deg Central Angle (Degrees)60.943951 units
20 units Radius; 90 deg Central Angle (Degrees)71.415927 units
20 units Radius; 120 deg Central Angle (Degrees)81.887902 units
20 units Radius; 150 deg Central Angle (Degrees)92.359878 units
20 units Radius; 180 deg Central Angle (Degrees)102.831853 units
20 units Radius; 210 deg Central Angle (Degrees)113.303829 units
20 units Radius; 240 deg Central Angle (Degrees)123.775804 units
20 units Radius; 270 deg Central Angle (Degrees)134.24778 units
20 units Radius; 300 deg Central Angle (Degrees)144.719755 units
20 units Radius; 330 deg Central Angle (Degrees)155.191731 units
20 units Radius; 360 deg Central Angle (Degrees)165.663706 units
50 units Radius; 0 deg Central Angle (Degrees)100 units
50 units Radius; 15 deg Central Angle (Degrees)113.089969 units
50 units Radius; 30 deg Central Angle (Degrees)126.179939 units
50 units Radius; 45 deg Central Angle (Degrees)139.269908 units
50 units Radius; 60 deg Central Angle (Degrees)152.359878 units
50 units Radius; 90 deg Central Angle (Degrees)178.539816 units
50 units Radius; 120 deg Central Angle (Degrees)204.719755 units
50 units Radius; 150 deg Central Angle (Degrees)230.899694 units
50 units Radius; 180 deg Central Angle (Degrees)257.079633 units
50 units Radius; 210 deg Central Angle (Degrees)283.259571 units
50 units Radius; 240 deg Central Angle (Degrees)309.43951 units
50 units Radius; 270 deg Central Angle (Degrees)335.619449 units
50 units Radius; 300 deg Central Angle (Degrees)361.799388 units
50 units Radius; 330 deg Central Angle (Degrees)387.979327 units
50 units Radius; 360 deg Central Angle (Degrees)414.159265 units

Frequently Asked Questions

Common questions about Sector Perimeter from Radius and Angle (Degrees), formulas, and typical use cases.

What does the Sector Perimeter from Radius and Angle (Degrees) calculator do?

It helps with estimating boundary length around pie-slice shapes and circular cutouts.

What formula does the Sector Perimeter from Radius and Angle (Degrees) calculator use?

Sector perimeter = 2r + arc length, and arc length = πrθ/180 for degrees.

What inputs are valid?

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

When would I use this?

estimating boundary length around pie-slice shapes and circular cutouts

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.