What is the diameter of the circle? 6 in 6 in marking brainliest and giving thanks to all

d = 6√2 in

Step-by-step explanation:

The triangle shown is isosceles as well as being a right triangle.  The diameter of this circle is the same as the length of the hypotenuse of the triangle.  Applying the Pythagorean Theorem, we get:

(6 in)^2 + (6 in)^2 = d^2

Then d^2 = √(2(6 in)^2).  Taking the square root of both sides yields

d = (6 in)^2·√2, or

d = 6√2 in