Consider a regular 23-gon. How many diagonals does the regular polygon have?
+12530 Consider a regular 23-gon. How many diagonals does the regular polygon have?
+26382 Consider a regular 23-gon. How many diagonals does the regular polygon have?
\(\begin{array}{|rcll|} \hline \text{diagonals} &=& (22+ 21+20+\ldots+3+2+1) - 23 \\ &=& \dfrac{1+22}{2}*22 - 23 \\ &=& 23*11 - 23 \\ &=& 23*10 \\ \mathbf{\text{diagonals}} &=& \mathbf{230} \\ \hline \end{array} \)
