Please write a Racket program that when run it displays the picture attached. The requirements for the program are as follows: $$Write a function called drawToScreen that takes a polygon as input and draws it in screen coordinates

$$Calculate the scales and offsets that will draw your entire color wheel on screen.

$$In last week$$s assignment, replace all calls to $$send dc draw$-$path$$ with drawToScreen

Create an image that contains your entire color wheel. HINT: The polygons need to be drawn to the image using screen coordinates.

You could create a function called drawToScreen that:

$1.$converts the polygon to screen coordinates

Scale the polygon by xScale, yScale

Then translate the polygon by xTrans, yTrans

$2.$draws the polygon

$3.$converts the polygon back to world coordinates

Translate the polygon by $-$xTrans, $-$yTrans

Then Scale the polygon by $1/$xScale$,1/$yScale

That way, the world to screen conversion would not seem to affect the polygon$$s position in world space.

And also, after the function is called, you$$d have your world space polygon back in case you wanted to use it again.

To do this, you would then replace all of the calls to $($send dc draw$-$path myPolygon$)$ in last week$$s homework with $($drawToScreen myPolygon$).$ Soem of this equations shoudl be used: xScreen $=$ xWorld $*0\mathrm{.}4+$ xTrans;

$0=-640*0\mathrm{.}4+$ xTrans

xTrans $=256$

xScreen $=$ xWorld $*0\mathrm{.}4+256$; Similarly for Y$.$ Hint: yScale $=$ xScale