tNumber","key":"5VBko","props":{"title":"Circle Radius (r)","helpText":"Enter the radius of the circle.","defaultValue":10,"required":true,"hidden":false,"hasMin":true,"hasMax":false,"minValue":0,"maxValue":null},"rowId":"bbcWqxp"},{"type":"inputDropdown","key":"H7TrV","props":{"title":"Calculation Method","helpText":"Choose which parameter you want to use for the calculation.","placeholder":"","defaultValue":null,"required":true,"otherOption":false,"otherOptionScore":null,"hidden":false,"width":null,"options":[{"id":"8LeI","name":"Using Central Angle","score":1},{"id":"IHIn","name":"Using Distance from Center","score":2}]},"rowId":"bbcWqxp"},{"type":"inputSlider","key":"C8LAe","props":{"title":"Central Angle (θ) in Degrees","defaultValue":60,"required":false,"hidden":false,"showNumberField":true,"step":1,"min":0,"max":360},"rowId":"-nuwf1V"},{"type":"inputNumber","key":"YpAzz","props":{"title":"Distance from Center (d)","helpText":"The perpendicular distance from the center of the circle to the chord.","defaultValue":5,"required":false,"hidden":false,"hasMin":true,"hasMax":false,"minValue":0,"maxValue":null},"rowId":"xN9OE5I"},{"type":"divider","key":"hNQ-H","props":{},"rowId":"5QjzaKo"},{"type":"text","key":"GqjQD","props":{"text":"

Calculated Chord Length:

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@chord_length_result

"},"rowId":"eYSO1DJ"},{"type":"text","key":"9IF-7","props":{"text":"

Formula used:
Angle method: c = 2 * r * sin(θ/2)
Distance method: c = 2 * √(r² - d²)

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How to calculate chord length?

"},"rowId":"AqsF0KH"},{"type":"text","key":"o00cv","props":{"text":"

A chord length is the straight-line distance between two points on a circle's circumference.

"},"rowId":"J2OpWL5"},{"type":"text","key":"n2MZt","props":{"text":"

Formulas: c = 2r × sin(θ/2) (Angle) or c = 2 × √(r² - d²) (Distance)

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Using the calculator: an example

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For a circle with a radius of 10 units and a central angle of 90°:

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Step-by-step calculation:

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Divide the angle by 2 (90 / 2 = 45°)
Find the sine of 45° (≈ 0.707)
Multiply: 2 × 10 × 0.707 = 14.14 units

"},"rowId":"FgskbXI"},{"type":"text","key":"Jego-","props":{"text":"

Frequently Asked Questions

"},"rowId":"ONsJceo"},{"type":"text","key":"Yt2eM","props":{"text":"

What is a chord?

"},"rowId":"Lhn1e9U"},{"type":"text","key":"zo1YA","props":{"text":"

A chord is a line segment whose endpoints both lie on a circular arc.

"},"rowId":"uIAVY66"},{"type":"text","key":"hDQWT","props":{"text":"

What is the longest chord?

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The diameter is the longest possible chord in any circle, passing through the center point.

"},"rowId":"j2CAOnw"}]},"logic":[{"id":"K3iez","type":"always","rules":[],"actions":[{"type":"calculate","target":"pfrAoha","formula":{"raw":"( 1 - ABS( @field:Calculation_Method::H7TrV - 2 ) ) * ( 2 * SQRT( ( @field:Circle_Radius::5VBko ^ 2 ) - ( @field:Distanc

Circle Chord Length Calculator

How to calculate chord length?

Using the calculator: an example

Step-by-step calculation:

Frequently Asked Questions

What is a chord?

What is the longest chord?

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