Question

What is the diameter of the circle shown?

Answer 1

`6√(2)` in

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√(2)`'

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

`6√(2)`

Answer 2

`6√(2)`

Explanation:

`a^2+b^2=c^2\\36+36 = c^2\\72=c^2\\c = 6√(2)`