重心列表

描述	圖形	${\displaystyle {\bar {x}}}$	${\displaystyle {\bar {y}}}$	面積
三角形		${\displaystyle {\frac {b}{3}}}$	${\displaystyle {\frac {h}{3}}}$	${\displaystyle {\frac {bh}{2}}}$
四分之一圓		${\displaystyle {\frac {4r}{3\pi }}}$	${\displaystyle {\frac {4r}{3\pi }}}$	${\displaystyle {\frac {\pi r^{2}}{4}}}$
半圓		${\displaystyle \,\!0}$	${\displaystyle {\frac {4r}{3\pi }}}$	${\displaystyle {\frac {\pi r^{2}}{2}}}$
四分之一橢圓		${\displaystyle {\frac {4a}{3\pi }}}$	${\displaystyle {\frac {4b}{3\pi }}}$	${\displaystyle {\frac {\pi ab}{4}}}$
半橢圓	橢圓${\displaystyle {\frac {x^{2}}{a^{2}}}+{\frac {y^{2}}{b^{2}}}=1}$與${\displaystyle \,\!x}$軸所圍成的圖形	${\displaystyle \,\!0}$	${\displaystyle {\frac {4b}{3\pi }}}$	${\displaystyle {\frac {\pi ab}{2}}}$
扇形	曲線${\displaystyle \,\!r=\rho }$，直線${\displaystyle \,\!\theta =-\alpha }$與直線${\displaystyle \,\!\theta =\alpha }$所圍成的圖形	${\displaystyle {\frac {2\rho \sin(\alpha )}{3\alpha }}}$	${\displaystyle \,\!0}$	${\displaystyle \,\!\alpha \rho ^{2}}$
四分之一圓弧	第一象限內的曲線${\displaystyle \,\!x^{2}+y^{2}=r^{2}}$	${\displaystyle {\frac {2r}{\pi }}}$	${\displaystyle {\frac {2r}{\pi }}}$	${\displaystyle {\frac {\pi r}{2}}}$
半圓弧	${\displaystyle \,\!x}$軸上方的曲線${\displaystyle \,\!x^{2}+y^{2}=r^{2}}$	${\displaystyle \,\!0}$	${\displaystyle {\frac {2r}{\pi }}}$	${\displaystyle \,\!\pi r}$
圓弧	從${\displaystyle \,\!\theta =-\alpha }$到${\displaystyle \,\!\theta =\alpha }$的曲線${\displaystyle \,\!r=\rho }$	${\displaystyle {\frac {\rho \sin(\alpha )}{\alpha }}}$	${\displaystyle \,\!0}$	${\displaystyle \,\!2\alpha \rho }$

參見

• 重心

外部連結

• Centroids of Common Shapes（頁面存檔備份，存於網際網路檔案館）
• Engineering Fundamentals: Common shapes and there properties the invole area..（頁面存檔備份，存於網際網路檔案館）