General Forms
What shape does the shown equation represent?
Expand Hint
The standard form of a sphere equation is:
$$$(x-h)^2+(y-k)^2+(z-m)^2=r^2$$$
where
$$r$$
is the sphere’s radius, and
$$h,k,\&\: m$$
are the respective
$$x,y,z$$
coordinates that define the sphere’s center point.
Hint 2
The standard form of a circle equation is:
$$$(x-h)^2+(y-k)^2=r^2$$$
where
$$r$$
is the circle’s radius, and
$$h\:\&\:k$$
are the respective
$$x\:\&\:y$$
coordinates that define the circle’s center point.
The standard form of a sphere equation is:
$$$(x-h)^2+(y-k)^2+(z-m)^2=r^2$$$
where
$$r$$
is the sphere’s radius, and
$$h,k,\&\: m$$
are the respective
$$x,y,z$$
coordinates that define the sphere’s center point.
The standard form of a circle equation is:
$$$(x-h)^2+(y-k)^2=r^2$$$
where
$$r$$
is the circle’s radius, and
$$h\:\&\:k$$
are the respective
$$x\:\&\:y$$
coordinates that define the circle’s center point.
If a circle were centered at the origin
$$(h=0\:\&\:k=0)$$
, then the general form is:
$$$x^2+y^2=r^2$$$
Circle
Time Analysis
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