Annulus Sector Calculation

Calculator and formulas for calculating an annulus sector


Various parameters of an annulus sector are calculated on this page. A circular ring sector is a section of an annulus. It is limited by two straight lines from its center.

The formulas for calculating an annulus can be found at the bottom of this page.

To perform the calculation, enter the two radii and the angle, then click the 'Calculate' button.


Annular sector calculator

 Input
Outer radius R
Inner radius r
Angle α
Decimal places
 Results
Area A
Perimeter P
Side length s
Outer arc length ba
Inner arc length bi
Diagonal d
Keisringsektor

Formulas for calculating annulus sectors


Area  

\(\displaystyle A = π · (R^2-r^2) · \frac{α}{360}\)

Perimeter 

\(\displaystyle P = π · (R+r )· \frac{α}{180}+2·(R-r)\)

Side length  

\(\displaystyle s = R-r\)

Outer arc length  

\(\displaystyle ba = π · R · \frac{α}{180} \)

Inner arc length  

\(\displaystyle ba = π · r · \frac{α}{180} \)

Diagonal  

\(\displaystyle d = \sqrt{R^2+r^2-2·R·r·cos(α)}\)

Angle functions

From Deg, Min, Sec to DecimalFrom Degree to PercentAngle sumSide lengths from angles

Circular functions

AnnulusAnnulus sectorCircleCircular anglesCircular arcsCircular sectorCircular segmentEllipseParabolic archSquaring the Circle



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