Find the length of one side of a square inscribed in a circle that has a radius of 2cm

Since the square is inscribed in the circle, a diagonal

of the square is a diameter of the circle.

The diameter of the circle = 2 x radius = 4 cm.

The diagonal of the square = 4 cm.

The diagonal of a square is (length of a side) x (√2).

Side x √2 = 4 cm

Divide each side by √2:

Side = 4 cm / √2 = 4 √2 / 2 = 2 √2 = 2.83 cm.