alse3ry911 alse3ry911

26-04-2022
Mathematics

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write the equation of the circle with a center at ( 2, -4 ) and a radius of 4

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jdoe0001 jdoe0001

26-04-2022

[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{2}{ h},\stackrel{-4}{ k})\qquad \qquad radius=\stackrel{4}{ r} \\\\\\\ [x-2]^2~~ + ~~[y-(-4)]^2~~ = ~~4^2\implies (x-2)^2~~ + ~~(y+4)^2~~ = ~~16[/tex]

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