Question

Find standard form of the equation for the circle with the following properties center (-1/4,-1) and radius square root 5

Answer 1

The standard form is represented below

$\begin{gathered} (x-h)^2+(y-k)^2=r^2 \\ h=-\frac{1}{4} \\ k=-1 \\ (x-(-\frac{1}{4}))^2+(y-(-1))^2=5^2 \\ (x+\frac{1}{4})^2+(y+1)^2=25 \end{gathered}$