Question 422030
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.