Geometry question attached in comments..

Question

anonymous · Answer

attachment

anonymous · Answer

@RoseDryer  r u good with geometry?

anonymous · Answer

Yepp. Looking at it now.

anonymous · Answer

ok

anonymous · Answer

Is this multiple choice?

anonymous · Answer

no :(

anonymous · Answer

it just has a 7 square box thingy to write the answer

anonymous · Answer

Oh well I got (4,7) as the Midpoint of the diameter which would be the center of the circle and the x-coordinate is 4.

anonymous · Answer

It might be wrong but I was in geometry last year so I don't remember a ton of a ton.

anonymous · Answer

ok

anonymous · Answer

@qweqwe123123123123111

anonymous · Answer

r u there?

anonymous · Answer

Yup. Just had to tear myself away from the last problem I was trying to learn (and I still haven't, it's an interesting 3D puzzle) and start thinking about yours...  :-)

And I see it's not anywhere near as hard as it looks. Basically, all you want to find is the center of the circle, which happens to be the midpoint between the endpoints of its circumference.

All you have to do is take the average - Just add the 2 endpoints together and divide by 2!

So the endpoints of the diameter given are:
(-1,4) and (9,10)

Add the X points and you have:
-1 + 9 = 9-1 = 8
Divide that by 2 and you have new_X = 4

Do the same with the Y vertices and you have:
4+10 = 14
Divide that by 2 and you have new_Y=7

So the center point of the diameter given is (new_X,new_Y), or (4,7).

Voila!  :-)

anonymous · Answer

so there's two ways to do it, either use the midpoint formula, or do it this way right?

anonymous · Answer

What's the "midpoint formula"?

anonymous · Answer

$$M=(\frac{ x _{1}+x _{2} }{ 2 },\frac{ y _{1} +y _{2}}{ 2 })$$
That is midpoint formula.

anonymous · Answer

Heheh...I had a feeling that's what it was. I just wanted it stated.

The routine I just went through *IS* the midpoint formula.  :-)

anonymous · Answer

I saw that, hahaa. I went and looked at your work.

anonymous · Answer

:-)

@an12345 do you see how it works?

anonymous · Answer

ugh i was away again,  yes i see it than you  guys :)

anonymous · Answer

GAAAKKK!!! I made a MAJOR ERROR in my terminology on my above description:

What I said:
"Basically, all you want to find is the center of the circle, which happens to be the midpoint between the endpoints of its circumference."

What I MEANT:
"Basically, all you want to find is the center of the circle, which happens to be the midpoint between the endpoints of its DIAMETER."

That's what happens when my brain starts twisting in knots...  :-)

anonymous · Answer

Anyway, good to see you have a handle on it now, an12345!

anonymous · Answer

Thank you, @RoseDryer!!  :-)