If Z1,Z2,Z3,…..Z10 denote vertices of regular polygon of 10 sides with z0 as centre of polygon then z12+z22+z32+…..+z102z02 equals to

For a regular polygon z12+z22+…zn2=n⋅z02(where z0 is centroid of the polygon)

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If $Z_{1}, Z_{2}, Z_{3}, \dots . . Z_{10}$ denote vertices of regular polygon of 10 sides with z₀ as centre of polygon then $\frac{z_{1}^{2} + z_{2}^{2} + z_{3}^{2} + \dots . . + z_{10}^{2}}{z_{0}^{2}}$ equals to

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For a regular polygon $z_{1}^{2} + z_{2}^{2} + \dots z_{n}^{2} = n \cdot z_{0}^{2} (where z_{0} is centroid of the polygon)$

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