Question

Find the equation of circle with center $(1,4)$ and radius $5$.

Answer 1

As we know that the equation of circle with center at $(h,k)$ ad radius $r$ is given as-

${(x-h)}^2+{(y-k)}^2=r^2$

Given that the centre of circle is $(1,4)$ and radius is $5$.

Therefore the equation of circle is-

${(x-1)}^2+{(y-4)}^2={\left(5\right)}^2$