Wat is the equation of a sphere? Does it indicate that a point is on the surface of the sphere, or that a point is in the sphere itself?
Point that is on the surface of the sphere.
Depends whether u are a physicist or a math person..:-)
I am talkimg about math
i dont get this
Says the champion :)
its on the surface, if it were inside the sphere the equation would be like\[(x-a)^2+(y-b)^2+(z-c)^2<r^2\]
That is not an equation.
but that's not an equation anymore dodomaroc, it's an inequality.
But otherwise you are correct
Do you mean a formula for its volume or its surface area?
Neither.
neither volume nor surface area, this equation simply shows you which points lie on the surface of the sphere and when graphed, the visual is a sphere.
do you how we say (x-h)^2+(y-k)^2=r^2 is the equation of a circle right?
Ya
n-sphere..
wats an n-sphere?
i bet we could use the distance formula to show the equation of a sphere like we can use the distance formula to show the equation of a circle
but we have 3 dimensions and instead of 2
so distance \[d=\sqrt{(x-x_1)^2+(y-y_1)^2+(z-z1)^2}\]
hmmm. interesting
dang it stupid subscripts
So does this shows the distance between what???
\[d=\sqrt{(x-x_1)^2+(y-y_1)^2+(z-z_1)^2}\]
\[d^2=(x-x_1)^2+(y-y1)^2+(z-z1)^2\] center is \[(x_1,y_1,z_1)\] its the distance from a point on the sphere to the center of the sphere
r^2 = sum i=1 to n+1 (x_i-c_i)^2
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