A circle whose center is located at point (-5, -7) having a radius of length r has the equation. Therefore, radius will be 21.
What is the equation of the circle with radius r units, centered at (x,y) ?
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]
We have been given the equation of the circle as
[tex](x+5)^2+(y+7)^2=21^2[/tex]
From comparing the general equation
Here, (h, k) = (-5, -7)
and the radius r = 21.
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