How do you write the equation for a circle with center (2, -3), radius 5?

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Answer 1 · 2016-09-11T12:24:33

See explanation.

The general formula of a circle whith radius $r$ and center in $S=(a,b)$ is:

$(x-a)^2+(y-b)^2=r^2$

So in our example the result equation is:
$(x-2)^2+(y-(-3))^2=5^2$

After simplyfing we get:

$(x-2)^2+(y+3)^2=25$