The area of a square that can be inscribed in a incircle of radius r is
Consider the given the area of a square that can be inscribed in a circle of radius=r
The radius
of circle =r unit
diameter =2r unit
The diameter of circle = diagonal of square =r unit
area of square =(diagonal)²/2=(2r)²/2=2r² unit²
Hence, this is the answer.