Write the standard form of the equation of the circle described below. (6,-7) r=9
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Solution
Step 1
write out the expression for the equation of a circle
[tex](x-h)^2+(y-k)^2=r^2[/tex]Where the centers are (h,k)
h = 6
k = -7
r = 9
Step 2
Write out the required equation of the circle using the parameters
[tex]\begin{gathered} \text{The required equation thus is} \\ (x-6)^2+(y-(-7))^2=9^2 \\ (x-6)^2+(y+7)^2=81_{} \end{gathered}[/tex]