Question 342293
If a square with a side of π is inscribed in a circle, what is the circumference of the circle?
:
Draw this out, you can see that the diameter of the circle is the hypotenuse of the square, which has sides of pi
:
d = {{{sqrt(pi^2+pi^2)}}}
d = {{{sqrt(2(pi^2))}}}
d = {{{pi*sqrt(2)}}}
Circumference = pi * diameter, therefore
c = {{{pi*pi*sqrt(2)}}}
c = {{{pi^2*sqrt(2)}}}
using your trust calc
c = 13.9577 is the circumference