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The number of diagonals in a regular polygon of 100 sides is
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Verified Answer
The correct answer is:
4850
The number of diagonals in a regular polygon of $n$ sides is given by the following formula ${ }^{n} C_{2}-n$
$\therefore$ The number of diagonals in a regular polygon of 100 sides
$$
\begin{array}{l}
={ }^{100} C_{2}-100=\frac{100 \cdot 99}{2}-100 \\
=\frac{9900-200}{2}=\frac{9700}{2}=4850
\end{array}
$$
$\therefore$ The number of diagonals in a regular polygon of 100 sides
$$
\begin{array}{l}
={ }^{100} C_{2}-100=\frac{100 \cdot 99}{2}-100 \\
=\frac{9900-200}{2}=\frac{9700}{2}=4850
\end{array}
$$
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