Convertools

Sagitta from Radius and Angle (Degrees)

Calculate circle sagitta (segment height) from radius and central angle in degrees.

Author

Dr. Mariam Diallo

Math editorial contributor

Senegalese sociolinguist with a doctorate from Sorbonne, studying code-switching in multilingual urban communities

Reviewed by

Prof. Kenji Tanaka

Math content reviewer

Japanese materials scientist at Kyoto University, known for breakthroughs in sustainable polymer research

Last updatedFebruary 22, 2026

PublishedFebruary 22, 2026

Table of Contents

  1. Reference values
  2. Calculator
  3. Reference table
  4. FAQs
  5. Methodology and review
  6. Related conversions

10 units Radius; 0 deg Central Angle (Degrees) =

0 units

Representative value from the Sagitta from Radius and Angle (Degrees) reference table.

Reference Values

Browse 54 reference values with individual detail pages for quick lookup.

Browse all reference values

Sagitta from Radius and Angle (Degrees)

Calculate circle sagitta (segment height) from radius and central angle in degrees.

Calculated Result

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Reference Table

Use this complete table for quick lookup and internal linking to specific value pages.

Sagitta from Radius and Angle (Degrees) Reference
ScenarioSagitta
1 units Radius; 0 deg Central Angle (Degrees)0 units
1 units Radius; 15 deg Central Angle (Degrees)0.008555 units
1 units Radius; 30 deg Central Angle (Degrees)0.034074 units
1 units Radius; 45 deg Central Angle (Degrees)0.07612 units
1 units Radius; 60 deg Central Angle (Degrees)0.133975 units
1 units Radius; 90 deg Central Angle (Degrees)0.292893 units
1 units Radius; 120 deg Central Angle (Degrees)0.5 units
1 units Radius; 150 deg Central Angle (Degrees)0.741181 units
1 units Radius; 180 deg Central Angle (Degrees)1 units
2 units Radius; 0 deg Central Angle (Degrees)0 units
2 units Radius; 15 deg Central Angle (Degrees)0.01711 units
2 units Radius; 30 deg Central Angle (Degrees)0.068148 units
2 units Radius; 45 deg Central Angle (Degrees)0.152241 units
2 units Radius; 60 deg Central Angle (Degrees)0.267949 units
2 units Radius; 90 deg Central Angle (Degrees)0.585786 units
2 units Radius; 120 deg Central Angle (Degrees)1 units
2 units Radius; 150 deg Central Angle (Degrees)1.482362 units
2 units Radius; 180 deg Central Angle (Degrees)2 units
5 units Radius; 0 deg Central Angle (Degrees)0 units
5 units Radius; 15 deg Central Angle (Degrees)0.042776 units
5 units Radius; 30 deg Central Angle (Degrees)0.170371 units
5 units Radius; 45 deg Central Angle (Degrees)0.380602 units
5 units Radius; 60 deg Central Angle (Degrees)0.669873 units
5 units Radius; 90 deg Central Angle (Degrees)1.464466 units
5 units Radius; 120 deg Central Angle (Degrees)2.5 units
5 units Radius; 150 deg Central Angle (Degrees)3.705905 units
5 units Radius; 180 deg Central Angle (Degrees)5 units
10 units Radius; 0 deg Central Angle (Degrees)0 units
10 units Radius; 15 deg Central Angle (Degrees)0.085551 units
10 units Radius; 30 deg Central Angle (Degrees)0.340742 units
10 units Radius; 45 deg Central Angle (Degrees)0.761205 units
10 units Radius; 60 deg Central Angle (Degrees)1.339746 units
10 units Radius; 90 deg Central Angle (Degrees)2.928932 units
10 units Radius; 120 deg Central Angle (Degrees)5 units
10 units Radius; 150 deg Central Angle (Degrees)7.41181 units
10 units Radius; 180 deg Central Angle (Degrees)10 units
20 units Radius; 0 deg Central Angle (Degrees)0 units
20 units Radius; 15 deg Central Angle (Degrees)0.171103 units
20 units Radius; 30 deg Central Angle (Degrees)0.681483 units
20 units Radius; 45 deg Central Angle (Degrees)1.522409 units
20 units Radius; 60 deg Central Angle (Degrees)2.679492 units
20 units Radius; 90 deg Central Angle (Degrees)5.857864 units
20 units Radius; 120 deg Central Angle (Degrees)10 units
20 units Radius; 150 deg Central Angle (Degrees)14.823619 units
20 units Radius; 180 deg Central Angle (Degrees)20 units
50 units Radius; 0 deg Central Angle (Degrees)0 units
50 units Radius; 15 deg Central Angle (Degrees)0.427757 units
50 units Radius; 30 deg Central Angle (Degrees)1.703709 units
50 units Radius; 45 deg Central Angle (Degrees)3.806023 units
50 units Radius; 60 deg Central Angle (Degrees)6.69873 units
50 units Radius; 90 deg Central Angle (Degrees)14.644661 units
50 units Radius; 120 deg Central Angle (Degrees)25 units
50 units Radius; 150 deg Central Angle (Degrees)37.059048 units
50 units Radius; 180 deg Central Angle (Degrees)50 units

Frequently Asked Questions

Common questions about Sagitta from Radius and Angle (Degrees), formulas, and typical use cases.

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

It helps with finding segment height for arcs, fabrication, and curved layout work.

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

Sagitta = r[1 - cos(θ/2)], with θ in degrees.

What inputs are valid?

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

When would I use this?

finding segment height for arcs, fabrication, and curved layout work

Methodology and Review

This page combines a live calculator, precomputed reference values, and FAQ content from the same conversion definition to reduce mismatch between calculator output and lookup tables.

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