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# write an equation for a circle:

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write an equation for a circle:

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

Guest Apr 14, 2015

#1
+94101
+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

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

Melody  Apr 15, 2015
#1
+94101
+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

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

Melody  Apr 15, 2015