Sector Area from Radius and Angle Reference Values

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 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

Reference Value Index

This page lists 25 reference values for quick browsing and lookup.

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All Reference Values

Reference Table

Sector Area from Radius and Angle reference values
Scenario	Sector 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

Frequently asked questions for Sector Area from Radius and Angle and its reference values.

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

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