write an equation for a circle:

write an equation for a circle:

*The endpoints of a diameter are (0,6) and (6,0)

I like this question :)

Find the length of the diameter using the distance formula

$$\\d=\sqrt{(6-0)^2+(0-6)^2}=\sqrt{72}=2\sqrt{18}\\\\ radius=\sqrt{18}\\\\$$

the centre is the midpoint of  (0,6) and (6,6) =  (3,3)

so

$$(x-3)^2+(y-3)^2=18$$

Here is the graph

https://www.desmos.com/calculator/ilvfipbhnc