Which is an equation of a circle with center (-10,6) and radius 8?

Question

anonymous · Answer

Here is a pic!

amistre64 · Answer

do you know how to find the distance between 2 points?

anonymous · Answer

No I don't. @amistre64

amistre64 · Answer

hmm, i was hoping you did since that is pretty basic knowledge obtained from simpler works

anonymous · Answer

Honestly I don't understand it. I get easily confused.

amistre64 · Answer

if we knew how to find the distance between 2 points; then all we would need to do is find the distance between (-10,6) and (x,y) that equals 8

isaiah.feynman · Answer

Wouldn't this be more quicker? $$(x-h)^{2}+(y-k)^{2}=r^{2}$$

amistre64 · Answer

that would be quicker, but just filling in a formula tends to obscure the reason why the formula works

anonymous · Answer

I don't even understand that formula.

amistre64 · Answer

do you know the pythagorean thrm?

anonymous · Answer

Wait it's the first one correct? Yes I do know it Asquared + Bsquared = Csquared

isaiah.feynman · Answer

Now I remember were you're coming from @amistre64

amistre64 · Answer

good, if we set up a right triangle such that:

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we can determine the equation of a circle using the pythag thrm