Question

Find the equation of the circle with centre $(-7,-5)$ and radius $6$

Answer 1

Since the centre of the circle is $(-4,-5)$ and its radius $6\$

Then, the equation of the circle is

${(x-(-7))}^2+{(y-(-5))}^2=6^2$

$\Rightarrow {(x+7)}^2+{(y+5)}^2=36$

$\Rightarrow x^2+14x+49+y^2+10y+25-36=0$

$\Rightarrow x^2+y^2+14x+10y+38=0$