Question

If the wire frame were stretched out to make one complete circle, what would it's radius be

Answer 1

We will first determine the perimeter of the rectangle, that is:

`p=8+10+8+10\Rightarrow p=36`

Now, that we know this, we will use the formula for the perimeter of a circle:

`p_c=2\pi r`

Now, we replace the perimeter and solve for r:

`36=2\pi r\Rightarrow(18)/(\pi)=r`

From this, we have that the radius of the circle with a perimeter equivalent of that of the rectangle will have a radius of:

`r=(18)/(\pi)`