Question

Find the center and the radius of the circle. (x-7)² + (y+4)²=74

Answer 1

The equation of a circle with center C(h,k) and radius r is given as:

`(x-h)^2+(y-k)^2=r^2`

In this case we have the equation:

`(x-7)^2+(y+4)^2=r^2`

Comparing with the equation of the circle we have:

`\begin{gathered} h=7 \\ k=-4 \\ r^2=74 \end{gathered}`

Therefore, the center of the circle is (7,-4) and the radius is √74