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[FAQ]

The area measurements shown in Mechanical are approximate, based on the tessellation. The value shown in DesignModeler is calculated in the geometry kernel and is very accurate. The value displayed in Mechanical can be further improved by increasing the Graphics Facet Quality in DesignModeler. It improves the faceting on the curved entities, and hence it reduces the discrepancy of the geometric properties like area, length.
To change the setting, under DesignModeler, go to
Tools // Options // DesignModeler // Graphics // Facet Quality
and set it to a higher value (default = 5). Once it is changed, refresh the geometry in Mechanical. A drawback to increasing this value may be longer attach times and slower geometry manipulation.