Answer:
We've got a inscribed circle. Radius of inscribed circles would calculated by r= S/P formula
S is triangle's area so it would be 2
P is semi-perimeter so first we need to find the hypotenuse of triangle which is 2√2
so P is 2+√2
So r would be 2 / 2+√2 = 2-√2
Area of circle = (2-√2)²