Question 1117203
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Write the equation for a circle that has a center (-2, 4) and radius of 3 cm.
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<pre>
A circle of radius  r, center at (h,k):


    {{{(x-h)^2 + (y-k)^2}}} = {{{r^2}}}              <<<---=== It is the most general equation of a circle in a coordinate plane.


In your case it is 


    {{{(x-(-2))^2}}} + {{{(y-4)^2}}} = {{{3^2}}},   or,  simplified as much as possible,


    {{{(x+2)^2}}} + {{{(y-4)^2}}} = 9.
</pre>

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If you want to learn more on the subject, read the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Quadratic-relations-and-conic-sections/Standard-equation-of-a-circle.lesson>Standard equation of a circle</A>

in this site.