We will first determine the perimeter of the rectangle, that is:
[tex]p=8+10+8+10\Rightarrow p=36[/tex]
Now, that we know this, we will use the formula for the perimeter of a circle:
[tex]p_c=2\pi r[/tex]
Now, we replace the perimeter and solve for r:
[tex]36=2\pi r\Rightarrow\frac{18}{\pi}=r[/tex]
From this, we have that the radius of the circle with a perimeter equivalent of that of the rectangle will have a radius of:
[tex]r=\frac{18}{\pi}[/tex]
