Question

The area of the largest possible square inscribed in a circle of unit radius is​

Answer 1

Answer: 2 unit²

Step-by-step explanation: Construct a square whose 2 diagonals will be the diameter of the circle since that square will have the largest area.

Let a be the side length of square and r be it's radius.

Now , length of diagonal = diameter of circle  

So, √2 a = 2r

          a = √2 r

 Area of square = a² = 2r²

Since, radius = 1  

So, area of square = 2 unit²

Answer 2

The answer of this is 2 unit square