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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

Best Answer 

 #1
avatar+91412 
+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
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1+0 Answers

 #1
avatar+91412 
+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

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

Melody  Apr 15, 2015

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