Question

What is the diameter of the circle shown?

Answer 1

Answer:

$6\sqrt{2}$

Step-by-step explanation:

$a^2+b^2=c^2\\36+36 = c^2\\72=c^2\\c = 6\sqrt{2}$

Answer 2

Answer:

$6\sqrt{2}$ in

Step-by-step explanation:

this triangle is a right isosceles triangle. this means it is also a 45- 45- 90 triangle.

there is a special relation between the sides of a 45 45 90 triangle :

if the legs are 'x' then the hypotenuse is  '$x\sqrt{2}$'

so in this case, the legs are 6 in. the hypotenuse (or diameter of the circle) is

$6\sqrt{2}$