Perimeter of a quadrant = $${\frac{{\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{r}}{\mathtt{\,\times\,}}{\mathtt{\pi}}}{{\mathtt{4}}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{r}} = {\frac{{\mathtt{r}}{\mathtt{\,\times\,}}{\mathtt{\pi}}}{{\mathtt{2}}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{r}} = {\mathtt{r}}{\mathtt{\,\times\,}}\left({\frac{{\mathtt{\pi}}}{{\mathtt{2}}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{2}}\right)$$