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Base Circle formula

\( BC \;=\; PD \cdot cos( PA)  \)
Symbol English Metric
\( BC \) = base circle \(in\) \(mm\)
\( PD \) = pitch diameter \(in\) \(mm\)
\( PA \) = pressure angle \(deg\) \(rad\)

gear diameter 2Base circle, abbreviated as BC, is a circle from where involute portion of tooth profile will be produced.  The base circle of a gear is an important concept in gear geometry.  It is a theoretical circle that is used as a reference in the design of involute gears.  The base circle is defined as the circle from which the involute curve of the gear tooth is generated.  

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