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you want to put a circle inside a box.
you are circumscribing the circle with the box.
you are inscribing the box with the circle
the circumference of your circle is 8 inches.
you need to find the diameter.
the circumference of a circle is equal to 2 * pi * r.
your equation to solve is 2 * pi * r = 8
divide both sides of the equation by 2 * pi to get r = 8 / (2 * pi)
pi = 3.141592654...
this is a constant term that never changes.
using that, we find that r = 1.273239545
that's the radius of your circle.
you want to get the diameter of your circle, so you multiply the radius by 2 to get:
diameter of the circle equals 2.546479089 inches.
that would be the width of your box.
the box would be square.
the perimeter of your box would be equal to 4 * 2.546479089 = 10.18591636 inches.