Find the radius of a circle with the equation:
x^2 + y^2 – 18x – 14y + 124 = 0
+15001 Find the radius of a circle with the equation:
x^2 + y^2 – 18x – 14y + 124 = 0
Hello Guest!
\(x^2 + y^2 – 18x – 14y + 124 = 0 \\ x^2+y^2+ax+by+c=0\)
\(a=-2x_M\\ b=-2y_M\\ c=x_M^2+y_M^2-r^2\)
\(x_M=-\frac{a}{2}=9\\ y_M=-\frac{b}{2}=7\\ \color{blue}r=\sqrt{9^2+7^2-124}=\sqrt{6}=2.449\)
The radius of a circle with the equation
x^2 + y^2 – 18x – 14y + 124 = 0
is 2.449.
The function equation is
\(y=y_M\pm\sqrt{r^2-(x-x_M)^2}\\ y=7\pm\sqrt{6-(x-9)^2}\)
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