Convertools

Sector Area from Radius and Angle

Calculate sector area from radius and central angle in degrees using A = πr²θ / 360.

Author

Dr. Isabella Rossi

Math editorial contributor

Italian neuroscientist at Sapienza University of Rome, studying the neural mechanisms of bilingual language processing

Reviewed 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

Table of Contents

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

3 units Radius; 45 deg Angle (degrees) =

3.534292 sq units

Representative value from the Sector Area from Radius and Angle reference table.

Reference Values

Browse 25 reference values with individual detail pages for quick lookup.

Browse all reference values

Sector Area from Radius and Angle

Calculate sector area from radius and central angle in degrees using A = πr²θ / 360.

Calculated Result

—

Reference Table

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

Sector Area from Radius and Angle Reference
ScenarioSector Area
1 units Radius; 15 deg Angle (degrees)0.1309 sq units
1 units Radius; 30 deg Angle (degrees)0.261799 sq units
1 units Radius; 45 deg Angle (degrees)0.392699 sq units
1 units Radius; 60 deg Angle (degrees)0.523599 sq units
1 units Radius; 90 deg Angle (degrees)0.785398 sq units
2 units Radius; 15 deg Angle (degrees)0.523599 sq units
2 units Radius; 30 deg Angle (degrees)1.047198 sq units
2 units Radius; 45 deg Angle (degrees)1.570796 sq units
2 units Radius; 60 deg Angle (degrees)2.094395 sq units
2 units Radius; 90 deg Angle (degrees)3.141593 sq units
3 units Radius; 15 deg Angle (degrees)1.178097 sq units
3 units Radius; 30 deg Angle (degrees)2.356194 sq units
3 units Radius; 45 deg Angle (degrees)3.534292 sq units
3 units Radius; 60 deg Angle (degrees)4.712389 sq units
3 units Radius; 90 deg Angle (degrees)7.068583 sq units
5 units Radius; 15 deg Angle (degrees)3.272492 sq units
5 units Radius; 30 deg Angle (degrees)6.544985 sq units
5 units Radius; 45 deg Angle (degrees)9.817477 sq units
5 units Radius; 60 deg Angle (degrees)13.089969 sq units
5 units Radius; 90 deg Angle (degrees)19.634954 sq units
8 units Radius; 15 deg Angle (degrees)8.37758 sq units
8 units Radius; 30 deg Angle (degrees)16.755161 sq units
8 units Radius; 45 deg Angle (degrees)25.132741 sq units
8 units Radius; 60 deg Angle (degrees)33.510322 sq units
8 units Radius; 90 deg Angle (degrees)50.265482 sq units

Frequently Asked Questions

Common questions about Sector Area from Radius and Angle, formulas, and typical use cases.

What does the Sector Area from Radius and Angle calculator do?

It helps with estimating pie-slice area in circular designs and geometry problems.

What formula does the Sector Area from Radius and Angle calculator use?

Sector area = π × radius² × degrees / 360.

What inputs are valid?

Radius and angle should be zero or greater for standard sector-area calculations.

When would I use this?

estimating pie-slice area in circular designs and geometry problems

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.