Which formula is suitable for finding the geometric centre of a polygonal face?(a) \(\frac{1}{No.of points}\sum_{i=1}^{No.of points}\) Point defining the polygoni(b) \(\sum_{i=1}^{No.of\, points}\) Point defining the polygoni(c) \(\frac{1}{Point\, defining\, the\, polygon}\sum_{i=1}^{No.of\, points}\) Point defining the polygoni(d) \(\frac{1}{No.of\, points}\sum_{i=1}^{No.of\, points}\)CentroidiThis question was addressed to me in homework.This interesting question is from The Geometry of FVM Elements topic in division Finite Volume Methods of Computational Fluid Dynamics

Which formula is suitable for finding the geometric centre of a polygo

1.	Which formula is suitable for finding the geometric centre of a polygonal face?(a) \(\frac{1}{No.of points}\sum_{i=1}^{No.of points}\) Point defining the polygoni(b) \(\sum_{i=1}^{No.of\, points}\) Point defining the polygoni(c) \(\frac{1}{Point\, defining\, the\, polygon}\sum_{i=1}^{No.of\, points}\) Point defining the polygoni(d) \(\frac{1}{No.of\, points}\sum_{i=1}^{No.of\, points}\)CentroidiThis question was addressed to me in homework.This interesting question is from The Geometry of FVM Elements topic in division Finite Volume Methods of Computational Fluid Dynamics
Answer» RIGHT choice is (a) \(\FRAC{1}{No.of points}\sum_{i=1}^{No.of points}\) Point defining the polygoni Easiest explanation: The average of all the points that define the POLYGON is the geometric CENTRE of the polygon. Therefore, Geometric centre=\(\frac{1}{No.of points}\sum_{i=1}^{No.of points}\) Point defining the polygoni

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