Chord Length from Radius and Angle (Degrees) Reference Values

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

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Dr. Nadia Petrov

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Dr. Isabella Rossi

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

Last updatedFebruary 22, 2026

PublishedFebruary 22, 2026

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Reference Table

Chord Length from Radius and Angle (Degrees) reference values
Scenario	Chord Length
1 units Radius; 0 deg Central Angle (Degrees)	0 units
1 units Radius; 15 deg Central Angle (Degrees)	0.261052 units
1 units Radius; 30 deg Central Angle (Degrees)	0.517638 units
1 units Radius; 45 deg Central Angle (Degrees)	0.765367 units
1 units Radius; 60 deg Central Angle (Degrees)	1 units
1 units Radius; 90 deg Central Angle (Degrees)	1.414214 units
1 units Radius; 120 deg Central Angle (Degrees)	1.732051 units
1 units Radius; 150 deg Central Angle (Degrees)	1.931852 units
1 units Radius; 180 deg Central Angle (Degrees)	2 units
1 units Radius; 210 deg Central Angle (Degrees)	1.931852 units
1 units Radius; 240 deg Central Angle (Degrees)	1.732051 units
1 units Radius; 270 deg Central Angle (Degrees)	1.414214 units
1 units Radius; 300 deg Central Angle (Degrees)	1 units
1 units Radius; 330 deg Central Angle (Degrees)	0.517638 units
1 units Radius; 360 deg Central Angle (Degrees)	0 units
2 units Radius; 0 deg Central Angle (Degrees)	0 units
2 units Radius; 15 deg Central Angle (Degrees)	0.522105 units
2 units Radius; 30 deg Central Angle (Degrees)	1.035276 units
2 units Radius; 45 deg Central Angle (Degrees)	1.530734 units
2 units Radius; 60 deg Central Angle (Degrees)	2 units
2 units Radius; 90 deg Central Angle (Degrees)	2.828427 units
2 units Radius; 120 deg Central Angle (Degrees)	3.464102 units
2 units Radius; 150 deg Central Angle (Degrees)	3.863703 units
2 units Radius; 180 deg Central Angle (Degrees)	4 units
2 units Radius; 210 deg Central Angle (Degrees)	3.863703 units
2 units Radius; 240 deg Central Angle (Degrees)	3.464102 units
2 units Radius; 270 deg Central Angle (Degrees)	2.828427 units
2 units Radius; 300 deg Central Angle (Degrees)	2 units
2 units Radius; 330 deg Central Angle (Degrees)	1.035276 units
2 units Radius; 360 deg Central Angle (Degrees)	0 units
5 units Radius; 0 deg Central Angle (Degrees)	0 units
5 units Radius; 15 deg Central Angle (Degrees)	1.305262 units
5 units Radius; 30 deg Central Angle (Degrees)	2.58819 units
5 units Radius; 45 deg Central Angle (Degrees)	3.826834 units
5 units Radius; 60 deg Central Angle (Degrees)	5 units
5 units Radius; 90 deg Central Angle (Degrees)	7.071068 units
5 units Radius; 120 deg Central Angle (Degrees)	8.660254 units
5 units Radius; 150 deg Central Angle (Degrees)	9.659258 units
5 units Radius; 180 deg Central Angle (Degrees)	10 units
5 units Radius; 210 deg Central Angle (Degrees)	9.659258 units
5 units Radius; 240 deg Central Angle (Degrees)	8.660254 units
5 units Radius; 270 deg Central Angle (Degrees)	7.071068 units
5 units Radius; 300 deg Central Angle (Degrees)	5 units
5 units Radius; 330 deg Central Angle (Degrees)	2.58819 units
5 units Radius; 360 deg Central Angle (Degrees)	0 units
10 units Radius; 0 deg Central Angle (Degrees)	0 units
10 units Radius; 15 deg Central Angle (Degrees)	2.610524 units
10 units Radius; 30 deg Central Angle (Degrees)	5.176381 units
10 units Radius; 45 deg Central Angle (Degrees)	7.653669 units
10 units Radius; 60 deg Central Angle (Degrees)	10 units
10 units Radius; 90 deg Central Angle (Degrees)	14.142136 units
10 units Radius; 120 deg Central Angle (Degrees)	17.320508 units
10 units Radius; 150 deg Central Angle (Degrees)	19.318517 units
10 units Radius; 180 deg Central Angle (Degrees)	20 units
10 units Radius; 210 deg Central Angle (Degrees)	19.318517 units
10 units Radius; 240 deg Central Angle (Degrees)	17.320508 units
10 units Radius; 270 deg Central Angle (Degrees)	14.142136 units
10 units Radius; 300 deg Central Angle (Degrees)	10 units
10 units Radius; 330 deg Central Angle (Degrees)	5.176381 units
10 units Radius; 360 deg Central Angle (Degrees)	0 units
20 units Radius; 0 deg Central Angle (Degrees)	0 units
20 units Radius; 15 deg Central Angle (Degrees)	5.221048 units
20 units Radius; 30 deg Central Angle (Degrees)	10.352762 units
20 units Radius; 45 deg Central Angle (Degrees)	15.307337 units
20 units Radius; 60 deg Central Angle (Degrees)	20 units
20 units Radius; 90 deg Central Angle (Degrees)	28.284271 units
20 units Radius; 120 deg Central Angle (Degrees)	34.641016 units
20 units Radius; 150 deg Central Angle (Degrees)	38.637033 units
20 units Radius; 180 deg Central Angle (Degrees)	40 units
20 units Radius; 210 deg Central Angle (Degrees)	38.637033 units
20 units Radius; 240 deg Central Angle (Degrees)	34.641016 units
20 units Radius; 270 deg Central Angle (Degrees)	28.284271 units
20 units Radius; 300 deg Central Angle (Degrees)	20 units
20 units Radius; 330 deg Central Angle (Degrees)	10.352762 units
20 units Radius; 360 deg Central Angle (Degrees)	0 units
50 units Radius; 0 deg Central Angle (Degrees)	0 units
50 units Radius; 15 deg Central Angle (Degrees)	13.052619 units
50 units Radius; 30 deg Central Angle (Degrees)	25.881905 units
50 units Radius; 45 deg Central Angle (Degrees)	38.268343 units
50 units Radius; 60 deg Central Angle (Degrees)	50 units
50 units Radius; 90 deg Central Angle (Degrees)	70.710678 units
50 units Radius; 120 deg Central Angle (Degrees)	86.60254 units
50 units Radius; 150 deg Central Angle (Degrees)	96.592583 units
50 units Radius; 180 deg Central Angle (Degrees)	100 units
50 units Radius; 210 deg Central Angle (Degrees)	96.592583 units
50 units Radius; 240 deg Central Angle (Degrees)	86.60254 units
50 units Radius; 270 deg Central Angle (Degrees)	70.710678 units
50 units Radius; 300 deg Central Angle (Degrees)	50 units
50 units Radius; 330 deg Central Angle (Degrees)	25.881905 units
50 units Radius; 360 deg Central Angle (Degrees)	0 units

Frequently Asked Questions

Frequently asked questions for Chord Length from Radius and Angle (Degrees) and its reference values.

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

It helps with finding straight-line span across a circle from radius and central angle.

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

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

What inputs are valid?

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

When would I use this?

finding straight-line span across a circle from radius and central angle

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.

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