A square with an area of 2 is inscribed in a circle. what is the area of the circle?

A) pie

B) Pie^2

C) 2pie

D) 2 radical pie

E) 4pie

It’s “pi,” not “pie.”

A square with an area of 2 will have sides of length \sqrt{2}, and therefore a diagonal of 2. (If you’re wondering how I know that, read up on special right triangles.)

If the square’s diagonal is 2, then the circle’s radius is 1, so the area is \pi r^2 = \pi (1)^2 = \pi.


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