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Chord Length Calculator

Calculate the length of a chord of a circle from the radius and the central angle it subtends.

Chord length
10units

Formula: c = 2 × r × sin(θ/2)

About Chord Length Calculator

Chord Length Calculator is a free online calculator that gives you an instant, accurate result as you type. Calculate the length of a chord of a circle from the radius and the central angle it subtends.

The calculation uses the standard formula c = 2 × r × sin(θ/2) and updates live with every change to the inputs. Everything runs client-side in your browser — fast, private, and free to use as often as you like.

The longest possible chord of a circle is its diameter, which corresponds to a central angle of 180 degrees.

Frequently Asked Questions

Is Chord Length Calculator free to use?

Yes. Chord Length Calculator is completely free, with no sign-up, no downloads, and no usage limits. You can use it as many times as you like on any device with a web browser.

How accurate is this calculator?

The calculator applies the standard formula (c = 2 × r × sin(θ/2)) with full floating-point precision and rounds only the displayed result. For most practical purposes the results are exact.