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3241004551 [841]
2 years ago
14

Write the equation of a circle with the following pints in the picture using the completing the square method. Thanks

Mathematics
1 answer:
pantera1 [17]2 years ago
8 0
So hmm notice the picture below

you have the center, and a point on the circle... all you need is the radius

\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%  (a,b)
&({{ 1}}\quad ,&{{ -2}})\quad 
%  (c,d)
&({{ 3}}\quad ,&{{ -4}})
\end{array}\qquad 
%  distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}\leftarrow  r

then use that radius in the circle's equation

\bf (x-{{ h}})^2+(y-{{ k}})^2={{ r}}^2
\qquad center\ ({{ h}},{{ k}})\qquad
radius={{ r}}

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