Write a class called polygon which can initialise regular$1$ Two$-$Dimensional $(2$D$)$ polygons, and

translate them in the $+/-$x and $+/-$y directions $($or both x and y$).$ It should also be able to rotate

them by any number of degrees about any point. Come up with your own names for all class

members except N and r$.$ The following members must be included in your class, exactly as

instructed, and must serve a meaningful purpose in your program:

$$ Private members:

o Member of type std::string, to store a $$user$-$defined polygon name $($e$.$g$.$t$\_1)$

$$ Note: the $$user$-$defined polygon name must always take the form l$\_$i where

l is a letter, i an integer; this also applies in ProgramB.

o Member $($r$)$ of type double, to store the radius.

$1$Regular$$ means that all the polygon$$s internal angles are the same, and all edges are of identical length.

$4$

o Member $($N$)$ of type integer, to store the number of vertices.

o Member of type std::vector, to store the x$-$coordinates of the polygon vertices.

o Member of type std::vector, to store the y$-$coordinates of the polygon vertices.

o Member function which prints any object$$s name, number of vertices and coordinates

$($as a coordinate pair for each vertex$)$ on screen using the standard output stream. The

printed output must take the following exact form $($although obviously the $$user$$

defined polygon name, the coordinates and the number of coordinate pairs will vary$).$

All numerical printed output should be rounded to $5$ decimal places:

t$\_1=$polygon$((1\mathrm{.}73205,-1),(0,2),(-1\mathrm{.}73205,-1))$