When you make the circle smaller, which number in the standard equation for a circle centered at the origin decreases?

Question

whpalmer4 · Answer

Circle centered at the origin has formula
$$x^2+y^2= r^2$$where $r$ is the radius.  If the circle gets smaller, what changes?

anonymous · Answer

So the standard form for a circle centered at the origin is$$(x)^2+(y)^2 = r^2$$ where r is the radius of the circle. So if you made that r^2 term smaller it would shrink the circle.

anonymous · Answer

The origin?

anonymous · Answer

or the radius??

whpalmer4 · Answer

The origin is (0,0).  It's just a point, how could it shrink?

anonymous · Answer

It would reduce the size of the circle

whpalmer4 · Answer

If the circle shrinks, the circle gets smaller, right?  And the circle is just the set of all points an equal distance (the radius) from the center.

whpalmer4 · Answer

So the radius shrinks as the circle gets smaller...

anonymous · Answer

yup

anonymous · Answer

Thanks for explaining guys(:

jhannybean · Answer

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