Chord Length Calculator

Use our free chord length calculator to find the length of a chord in a circle.

Math

Radius (r)

Central Angle (θ)

Formula

A chord is a straight line connecting two points on a circle.

c = 2r × sin(θ/2)

Percentage: The percentage value you want to apply

Number: The original number or value

Result: The calculated result

How It Works

1Enter radius.
2Enter angle in degrees.
3Click Calculate.

Examples

r=8, θ=60°

1.c=16×sin(30°)=16×0.5=8 units.

Result: 8.0000 units

r=10, θ=90°

1.c=20×sin(45°)=20×0.7071≈14.14 units.

Result: 14.1421 units

Frequently Asked Questions

c = 2r × sin(θ/2).

Line segment connecting two points on a circle.

The diameter, when θ = 180°, c = 2r.

Same point, chord length = 0.

Geometry, engineering, architecture.

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CalculateMe Team

Last updated: 2026-07-14

Chord Length Calculator

Formula

How It Works

Examples

r=8, θ=60°

r=10, θ=90°

Frequently Asked Questions

Chord formula?

What is a chord?

Longest chord?

If θ=360°?

Real uses?

Related Calculators

Chord Length Calculator

Formula

How It Works

Examples

r=8, θ=60°

r=10, θ=90°

Frequently Asked Questions

Chord formula?

What is a chord?

Longest chord?

If θ=360°?

Real uses?

Related Calculators