April 19, 2014

Homework Help: geometry

Posted by sphere on Tuesday, August 23, 2011 at 11:56am.

First of all let me apologize if this is the wrong section; this is a review question from a Calculus III class, but it doesn't involve any actual calculus so I posted it here.

If I have a sphere with center (2,-10,4) and radius 10 what is:

the intersection with the yz plane?
the intersection with the xy plane?

I get tripped up with geometry in more than 2 dimensions so I'm confused as how to handle this.

Should I treat the "omitted plane" (my term for lack of a better word) value as zero? If so does that change the radius? I'm guessing not given that the distance formula for a circle or a sphere is equal to r^2.

So for yz would I say
(y+10)^2 + (z-4)^2 = 100

And if so, how do I find the yz plane intersection from that? I know I've done this before but I don't recall how to do it.

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