write an equation for a circle:

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

Guest Apr 14, 2015

#1**+5 **

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

Melody
Apr 15, 2015

#1**+5 **

Best Answer

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

Melody
Apr 15, 2015