area

Semicircle Moment of Inertia Calculator

Calculate area moments for semicircular cross-sections about defined axes.

Semicircle Moment of Inertia Calculator

Geometry input

Define your section

01 / INPUT

Semicircle section

Diameter of the original circle

Live analysis

Calculated properties

02 / OUTPUT
Semicircle section
2,454,369
mm⁴
Ix centroidal685,981 mm⁴
Iy centroidal2,454,369 mm⁴
Area3,926.991 mm²
Applied formulaIx centroidal = πr⁴/8 − 8r⁴/(9π); Iy = πr⁴/8

Length inputs are converted to millimetres for calculations. Review the assumptions before using results in engineering work.

About this calculation

Enter the required dimensions and select the appropriate length unit. The calculator displays results based on the selected calculation and its stated assumptions.

Moment of inertia and related section properties depend on the geometry, reference axes, units, and assumptions used. Review the displayed formula and assumptions before using any result.

These tools are intended for educational and preliminary engineering calculations. Independently verify critical results before using them in engineering design or safety-related work.

Calculation methodology

Learn about formulas, units, assumptions, and calculation limitations in our calculation methodology.

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