Convertools

Chord Length from Radius and Angle (Radians)

Calculate chord length from circle radius and central angle in radians.

Author

Prof. Kenji Tanaka

Math editorial contributor

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

Reviewed by

Dr. Isabella Rossi

Math content reviewer

Italian neuroscientist at Sapienza University of Rome, studying the neural mechanisms of bilingual language processing

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 rad Central Angle (Radians) =

0 units

Representative value from the Chord Length from Radius and Angle (Radians) reference table.

Reference Values

Browse 72 reference values with individual detail pages for quick lookup.

Browse all reference values

Chord Length from Radius and Angle (Radians)

Calculate chord length from circle radius and central angle in radians.

Calculated Result

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Reference Table

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

Chord Length from Radius and Angle (Radians) Reference
ScenarioChord Length
1 units Radius; 0 rad Central Angle (Radians)0 units
1 units Radius; 0.261799 rad Central Angle (Radians)0.261052 units
1 units Radius; 0.523599 rad Central Angle (Radians)0.517638 units
1 units Radius; 0.785398 rad Central Angle (Radians)0.765367 units
1 units Radius; 1.047198 rad Central Angle (Radians)1 units
1 units Radius; 1.570796 rad Central Angle (Radians)1.414213 units
1 units Radius; 2.094395 rad Central Angle (Radians)1.732051 units
1 units Radius; 2.356194 rad Central Angle (Radians)1.847759 units
1 units Radius; 3.141593 rad Central Angle (Radians)2 units
1 units Radius; 4.18879 rad Central Angle (Radians)1.732051 units
1 units Radius; 4.712389 rad Central Angle (Radians)1.414214 units
1 units Radius; 6.283185 rad Central Angle (Radians)0 units
2 units Radius; 0 rad Central Angle (Radians)0 units
2 units Radius; 0.261799 rad Central Angle (Radians)0.522104 units
2 units Radius; 0.523599 rad Central Angle (Radians)1.035277 units
2 units Radius; 0.785398 rad Central Angle (Radians)1.530733 units
2 units Radius; 1.047198 rad Central Angle (Radians)2.000001 units
2 units Radius; 1.570796 rad Central Angle (Radians)2.828427 units
2 units Radius; 2.094395 rad Central Angle (Radians)3.464102 units
2 units Radius; 2.356194 rad Central Angle (Radians)3.695518 units
2 units Radius; 3.141593 rad Central Angle (Radians)4 units
2 units Radius; 4.18879 rad Central Angle (Radians)3.464102 units
2 units Radius; 4.712389 rad Central Angle (Radians)2.828427 units
2 units Radius; 6.283185 rad Central Angle (Radians)0.000001 units
5 units Radius; 0 rad Central Angle (Radians)0 units
5 units Radius; 0.261799 rad Central Angle (Radians)1.30526 units
5 units Radius; 0.523599 rad Central Angle (Radians)2.588192 units
5 units Radius; 0.785398 rad Central Angle (Radians)3.826834 units
5 units Radius; 1.047198 rad Central Angle (Radians)5.000002 units
5 units Radius; 1.570796 rad Central Angle (Radians)7.071067 units
5 units Radius; 2.094395 rad Central Angle (Radians)8.660254 units
5 units Radius; 2.356194 rad Central Angle (Radians)9.238794 units
5 units Radius; 3.141593 rad Central Angle (Radians)10 units
5 units Radius; 4.18879 rad Central Angle (Radians)8.660255 units
5 units Radius; 4.712389 rad Central Angle (Radians)7.071068 units
5 units Radius; 6.283185 rad Central Angle (Radians)0.000002 units
10 units Radius; 0 rad Central Angle (Radians)0 units
10 units Radius; 0.261799 rad Central Angle (Radians)2.61052 units
10 units Radius; 0.523599 rad Central Angle (Radians)5.176383 units
10 units Radius; 0.785398 rad Central Angle (Radians)7.653667 units
10 units Radius; 1.047198 rad Central Angle (Radians)10.000004 units
10 units Radius; 1.570796 rad Central Angle (Radians)14.142133 units
10 units Radius; 2.094395 rad Central Angle (Radians)17.320508 units
10 units Radius; 2.356194 rad Central Angle (Radians)18.477589 units
10 units Radius; 3.141593 rad Central Angle (Radians)20 units
10 units Radius; 4.18879 rad Central Angle (Radians)17.320509 units
10 units Radius; 4.712389 rad Central Angle (Radians)14.142135 units
10 units Radius; 6.283185 rad Central Angle (Radians)0.000003 units
20 units Radius; 0 rad Central Angle (Radians)0 units
20 units Radius; 0.261799 rad Central Angle (Radians)5.22104 units
20 units Radius; 0.523599 rad Central Angle (Radians)10.352766 units
20 units Radius; 0.785398 rad Central Angle (Radians)15.307334 units
20 units Radius; 1.047198 rad Central Angle (Radians)20.000008 units
20 units Radius; 1.570796 rad Central Angle (Radians)28.284267 units
20 units Radius; 2.094395 rad Central Angle (Radians)34.641015 units
20 units Radius; 2.356194 rad Central Angle (Radians)36.955178 units
20 units Radius; 3.141593 rad Central Angle (Radians)40 units
20 units Radius; 4.18879 rad Central Angle (Radians)34.641018 units
20 units Radius; 4.712389 rad Central Angle (Radians)28.284271 units
20 units Radius; 6.283185 rad Central Angle (Radians)0.000006 units
50 units Radius; 0 rad Central Angle (Radians)0 units
50 units Radius; 0.261799 rad Central Angle (Radians)13.0526 units
50 units Radius; 0.523599 rad Central Angle (Radians)25.881915 units
50 units Radius; 0.785398 rad Central Angle (Radians)38.268336 units
50 units Radius; 1.047198 rad Central Angle (Radians)50.000019 units
50 units Radius; 1.570796 rad Central Angle (Radians)70.710667 units
50 units Radius; 2.094395 rad Central Angle (Radians)86.602538 units
50 units Radius; 2.356194 rad Central Angle (Radians)92.387944 units
50 units Radius; 3.141593 rad Central Angle (Radians)100 units
50 units Radius; 4.18879 rad Central Angle (Radians)86.602545 units
50 units Radius; 4.712389 rad Central Angle (Radians)70.710677 units
50 units Radius; 6.283185 rad Central Angle (Radians)0.000015 units

Frequently Asked Questions

Common questions about Chord Length from Radius and Angle (Radians), formulas, and typical use cases.

What does the Chord Length from Radius and Angle (Radians) calculator do?

It helps with computing chord lengths directly from radian-based angle inputs.

What formula does the Chord Length from Radius and Angle (Radians) calculator use?

Chord length = 2r sin(θ/2), with θ in radians.

What inputs are valid?

Radius must be non-negative and the central angle is limited to 0-2π radians in this calculator.

When would I use this?

computing chord lengths directly from radian-based angle inputs

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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