If a circle has a center at (−4, 9) and has a radius of 11. Then the equation of the circle is x² + y² + 8x - 18y = 24.
If a circle O has a radius of r units length and it has got its center positioned at (h, k) point of the coordinate plane, then, its equation is given as:
[tex](x-h)^2 + (y-k)^2 = r^2[/tex]
A circle is centered at (−4, 9) and has a radius of 11.
Then we have
[tex]\begin{aligned} \rm (x+4)^2 + (y-9)^2 = 11^2\\\\\rm x^2 + 8x + 16 + y^2 - 18y + 81 = 121\\\\\rm x^2 + y^2 + 8x - 18y = 24 \end{aligned}[/tex]
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