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Circle Segment Area from Radius and Angle (Degrees)

Calculate circle segment area from radius and central angle in degrees.

Author

Prof. Kwame Asante

Math editorial contributor

Ghanaian-British historian at Oxford, specializing in pre-colonial West African trade networks

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 sq units

Representative value from the Circle Segment Area from Radius and Angle (Degrees) reference table.

Reference Values

Browse 90 reference values with individual detail pages for quick lookup.

Browse all reference values

Circle Segment Area from Radius and Angle (Degrees)

Calculate circle segment area 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.

Circle Segment Area from Radius and Angle (Degrees) Reference
ScenarioSegment Area
1 units Radius; 0 deg Central Angle (Degrees)0 sq units
1 units Radius; 15 deg Central Angle (Degrees)0.00149 sq units
1 units Radius; 30 deg Central Angle (Degrees)0.011799 sq units
1 units Radius; 45 deg Central Angle (Degrees)0.039146 sq units
1 units Radius; 60 deg Central Angle (Degrees)0.090586 sq units
1 units Radius; 90 deg Central Angle (Degrees)0.285398 sq units
1 units Radius; 120 deg Central Angle (Degrees)0.614185 sq units
1 units Radius; 150 deg Central Angle (Degrees)1.058997 sq units
1 units Radius; 180 deg Central Angle (Degrees)1.570796 sq units
1 units Radius; 210 deg Central Angle (Degrees)2.082596 sq units
1 units Radius; 240 deg Central Angle (Degrees)2.527408 sq units
1 units Radius; 270 deg Central Angle (Degrees)2.856194 sq units
1 units Radius; 300 deg Central Angle (Degrees)3.051007 sq units
1 units Radius; 330 deg Central Angle (Degrees)3.129793 sq units
1 units Radius; 360 deg Central Angle (Degrees)3.141593 sq units
2 units Radius; 0 deg Central Angle (Degrees)0 sq units
2 units Radius; 15 deg Central Angle (Degrees)0.005961 sq units
2 units Radius; 30 deg Central Angle (Degrees)0.047198 sq units
2 units Radius; 45 deg Central Angle (Degrees)0.156583 sq units
2 units Radius; 60 deg Central Angle (Degrees)0.362344 sq units
2 units Radius; 90 deg Central Angle (Degrees)1.141593 sq units
2 units Radius; 120 deg Central Angle (Degrees)2.456739 sq units
2 units Radius; 150 deg Central Angle (Degrees)4.235988 sq units
2 units Radius; 180 deg Central Angle (Degrees)6.283185 sq units
2 units Radius; 210 deg Central Angle (Degrees)8.330383 sq units
2 units Radius; 240 deg Central Angle (Degrees)10.109631 sq units
2 units Radius; 270 deg Central Angle (Degrees)11.424778 sq units
2 units Radius; 300 deg Central Angle (Degrees)12.204026 sq units
2 units Radius; 330 deg Central Angle (Degrees)12.519173 sq units
2 units Radius; 360 deg Central Angle (Degrees)12.566371 sq units
5 units Radius; 0 deg Central Angle (Degrees)0 sq units
5 units Radius; 15 deg Central Angle (Degrees)0.037254 sq units
5 units Radius; 30 deg Central Angle (Degrees)0.294985 sq units
5 units Radius; 45 deg Central Angle (Degrees)0.978642 sq units
5 units Radius; 60 deg Central Angle (Degrees)2.264652 sq units
5 units Radius; 90 deg Central Angle (Degrees)7.134954 sq units
5 units Radius; 120 deg Central Angle (Degrees)15.354621 sq units
5 units Radius; 150 deg Central Angle (Degrees)26.474923 sq units
5 units Radius; 180 deg Central Angle (Degrees)39.269908 sq units
5 units Radius; 210 deg Central Angle (Degrees)52.064893 sq units
5 units Radius; 240 deg Central Angle (Degrees)63.185195 sq units
5 units Radius; 270 deg Central Angle (Degrees)71.404862 sq units
5 units Radius; 300 deg Central Angle (Degrees)76.275164 sq units
5 units Radius; 330 deg Central Angle (Degrees)78.244832 sq units
5 units Radius; 360 deg Central Angle (Degrees)78.539816 sq units
10 units Radius; 0 deg Central Angle (Degrees)0 sq units
10 units Radius; 15 deg Central Angle (Degrees)0.149017 sq units
10 units Radius; 30 deg Central Angle (Degrees)1.179939 sq units
10 units Radius; 45 deg Central Angle (Degrees)3.914569 sq units
10 units Radius; 60 deg Central Angle (Degrees)9.058607 sq units
10 units Radius; 90 deg Central Angle (Degrees)28.539816 sq units
10 units Radius; 120 deg Central Angle (Degrees)61.418485 sq units
10 units Radius; 150 deg Central Angle (Degrees)105.899694 sq units
10 units Radius; 180 deg Central Angle (Degrees)157.079633 sq units
10 units Radius; 210 deg Central Angle (Degrees)208.259571 sq units
10 units Radius; 240 deg Central Angle (Degrees)252.74078 sq units
10 units Radius; 270 deg Central Angle (Degrees)285.619449 sq units
10 units Radius; 300 deg Central Angle (Degrees)305.100658 sq units
10 units Radius; 330 deg Central Angle (Degrees)312.979327 sq units
10 units Radius; 360 deg Central Angle (Degrees)314.159265 sq units
20 units Radius; 0 deg Central Angle (Degrees)0 sq units
20 units Radius; 15 deg Central Angle (Degrees)0.596069 sq units
20 units Radius; 30 deg Central Angle (Degrees)4.719755 sq units
20 units Radius; 45 deg Central Angle (Degrees)15.658276 sq units
20 units Radius; 60 deg Central Angle (Degrees)36.234429 sq units
20 units Radius; 90 deg Central Angle (Degrees)114.159265 sq units
20 units Radius; 120 deg Central Angle (Degrees)245.67394 sq units
20 units Radius; 150 deg Central Angle (Degrees)423.598776 sq units
20 units Radius; 180 deg Central Angle (Degrees)628.318531 sq units
20 units Radius; 210 deg Central Angle (Degrees)833.038286 sq units
20 units Radius; 240 deg Central Angle (Degrees)1,010.963122 sq units
20 units Radius; 270 deg Central Angle (Degrees)1,142.477796 sq units
20 units Radius; 300 deg Central Angle (Degrees)1,220.402632 sq units
20 units Radius; 330 deg Central Angle (Degrees)1,251.917306 sq units
20 units Radius; 360 deg Central Angle (Degrees)1,256.637061 sq units
50 units Radius; 0 deg Central Angle (Degrees)0 sq units
50 units Radius; 15 deg Central Angle (Degrees)3.725428 sq units
50 units Radius; 30 deg Central Angle (Degrees)29.498469 sq units
50 units Radius; 45 deg Central Angle (Degrees)97.864228 sq units
50 units Radius; 60 deg Central Angle (Degrees)226.465184 sq units
50 units Radius; 90 deg Central Angle (Degrees)713.495408 sq units
50 units Radius; 120 deg Central Angle (Degrees)1,535.462123 sq units
50 units Radius; 150 deg Central Angle (Degrees)2,647.492347 sq units
50 units Radius; 180 deg Central Angle (Degrees)3,926.990817 sq units
50 units Radius; 210 deg Central Angle (Degrees)5,206.489286 sq units
50 units Radius; 240 deg Central Angle (Degrees)6,318.519511 sq units
50 units Radius; 270 deg Central Angle (Degrees)7,140.486225 sq units
50 units Radius; 300 deg Central Angle (Degrees)7,627.51645 sq units
50 units Radius; 330 deg Central Angle (Degrees)7,824.483164 sq units
50 units Radius; 360 deg Central Angle (Degrees)7,853.981634 sq units

Frequently Asked Questions

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

What does the Circle Segment Area from Radius and Angle (Degrees) calculator do?

It helps with estimating areas of circular segments in geometry, fabrication, and fluid level approximations.

What formula does the Circle Segment Area from Radius and Angle (Degrees) calculator use?

Segment area = (r²/2) × (θ - sin θ), with θ in radians.

What inputs are valid?

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

When would I use this?

estimating areas of circular segments in geometry, fabrication, and fluid level approximations

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.

Editorial metadata (author, reviewer, and update date) is rendered on the page and in structured data. See our editorial policy, review process, and corrections policy.

For compliance-sensitive work, verify final values against project requirements, governing standards, and manufacturer documentation.