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Sagitta from Radius and Chord Length Reference Values

Calculate circle sagitta from radius and chord length.

Author

Prof. Mei-Ling Wu

Math editorial contributor

Taiwanese genomics researcher at National Taiwan University, leading studies on pharmacogenomics in East Asian populations

Reviewed for accuracy by

Prof. Hans Muller

Math content reviewer

German renewable energy engineer at TU Munich, pioneering grid-scale hydrogen storage solutions

Last updatedFebruary 22, 2026

PublishedFebruary 22, 2026

On this page

  1. All value pages
  2. Reference table
  3. FAQs
  4. Methodology and review
  5. Related conversions

Reference Value Index

This page lists 54 reference values for quick browsing and lookup.

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All Reference Values

Reference Table

Sagitta from Radius and Chord Length reference values
ScenarioSagitta
1 units Radius; 0 units Chord Length0 units
1 units Radius; 0.25 units Chord Length0.007843 units
1 units Radius; 0.5 units Chord Length0.031754 units
1 units Radius; 0.75 units Chord Length0.072975 units
1 units Radius; 1 units Chord Length0.133975 units
1 units Radius; 1.25 units Chord Length0.219375 units
1 units Radius; 1.5 units Chord Length0.338562 units
1 units Radius; 1.75 units Chord Length0.515877 units
1 units Radius; 2 units Chord Length1 units
2 units Radius; 0 units Chord Length0 units
2 units Radius; 0.5 units Chord Length0.015687 units
2 units Radius; 1 units Chord Length0.063508 units
2 units Radius; 1.5 units Chord Length0.14595 units
2 units Radius; 2 units Chord Length0.267949 units
2 units Radius; 2.5 units Chord Length0.438751 units
2 units Radius; 3 units Chord Length0.677124 units
2 units Radius; 3.5 units Chord Length1.031754 units
2 units Radius; 4 units Chord Length2 units
5 units Radius; 0 units Chord Length0 units
5 units Radius; 1.25 units Chord Length0.039216 units
5 units Radius; 2.5 units Chord Length0.158771 units
5 units Radius; 3.75 units Chord Length0.364876 units
5 units Radius; 5 units Chord Length0.669873 units
5 units Radius; 6.25 units Chord Length1.096876 units
5 units Radius; 7.5 units Chord Length1.692811 units
5 units Radius; 8.75 units Chord Length2.579385 units
5 units Radius; 10 units Chord Length5 units
10 units Radius; 0 units Chord Length0 units
10 units Radius; 2.5 units Chord Length0.078433 units
10 units Radius; 5 units Chord Length0.317542 units
10 units Radius; 7.5 units Chord Length0.729752 units
10 units Radius; 10 units Chord Length1.339746 units
10 units Radius; 12.5 units Chord Length2.193753 units
10 units Radius; 15 units Chord Length3.385622 units
10 units Radius; 17.5 units Chord Length5.158771 units
10 units Radius; 20 units Chord Length10 units
20 units Radius; 0 units Chord Length0 units
20 units Radius; 5 units Chord Length0.156865 units
20 units Radius; 10 units Chord Length0.635083 units
20 units Radius; 15 units Chord Length1.459504 units
20 units Radius; 20 units Chord Length2.679492 units
20 units Radius; 25 units Chord Length4.387505 units
20 units Radius; 30 units Chord Length6.771243 units
20 units Radius; 35 units Chord Length10.317542 units
20 units Radius; 40 units Chord Length20 units
50 units Radius; 0 units Chord Length0 units
50 units Radius; 12.5 units Chord Length0.392163 units
50 units Radius; 25 units Chord Length1.587708 units
50 units Radius; 37.5 units Chord Length3.648759 units
50 units Radius; 50 units Chord Length6.69873 units
50 units Radius; 62.5 units Chord Length10.968763 units
50 units Radius; 75 units Chord Length16.928109 units
50 units Radius; 87.5 units Chord Length25.793854 units
50 units Radius; 100 units Chord Length50 units

Frequently Asked Questions

Frequently asked questions for Sagitta from Radius and Chord Length and its reference values.

What does the Sagitta from Radius and Chord Length calculator do?

It helps with recovering segment height from measured radius and chord span.

What formula does the Sagitta from Radius and Chord Length calculator use?

Sagitta = r - √(r² - (c²/4)), where c is chord length.

What inputs are valid?

Radius must be non-negative and chord length must be between 0 and 2r.

When would I use this?

recovering segment height from measured radius and chord span

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.

Editorial metadata and structured data are rendered across the converter page and linked value pages. Review policies are documented in our review process and editorial policy.