A square is inscribed inside a circle with radius r cm.

a) Express the edge length of the square in terms of r and so find the area of the square in terms of r.

Using side, 's' would make it much easier, but the question asks for me to find the area of the inscribed square using radius 'r,' which i'm guessing, is worked out from the circle surrounding the square.
Not sure how I would work this one out, help appreciated, thanks :)

1 answer

the diagonal of the square is equal to the diameter of the circle, 2r
So, the side of the square is (2r)/√2 = r√2
That makes the area (r√2)^2 = 2r^2