Hover over each shape for tool tips with color information

For this program you will be writing code that simulates throwing a dart randomly at the painting. To do this, you can repeatedly generate a random coordinate within the painting area and test to see which shape $($if any$)$ the dart falls into. Note that the two$-$dimensional plane is $800$ units wide $\backslash$times $500$ units high and origin point $(0,0)$ is at the top left corner, so you will be generating coordinates within this range as part of your simulation. When you are finished you should calculate the $\%$ chance of a dart hitting a particular shape.

Refer to the diagram below for the exact measurements of the painting and locations of shapes. As you$$re getting started, simulate just one dart toss and use the coordinate plane to determine if the dart has fallen into one of the colored regions. Begin with the red rectangle since it will be the simplest shape to work with$$how can you write a statement to determine if a point falls within a rectangle?

From there, expand this logic and apply it to the other shapes. Hint: you can use the distance formula from assignment $3$ again to determine if a point falls within a circular region. Once you are confident that you$$ve designed an effective algorithm, you can scale up and place your code inside a count$-$controlled loop.

$8_{}$