Problem Solving (PS) | Re: A circle is inscribed inside right triangle ABC shown above. What is

A circle is inscribed inside right triangle ABC shown above. What is the area of the circle, if the leg AB of the right triangle is 4?

A.\(4\pi(\sqrt{2}-1)^2\)

B.\(8\pi(\sqrt{2}-1)^2\)

C.\(2\pi\)

D.\(4\pi\)

E.\(8\pi(1-\sqrt{2})\)