Question

What is the equation of the circle with a center of (5,-4) and radius of 7?

Answer 1

The equation of circle with center (h,k) and radius r is,

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

Determine the equation of circle with center (5,-4) and radius 7.

`\begin{gathered} (x-5)^2+(y-(-4))^2=(7)^2 \\ (x-5)^2+(y+4)^2=49 \end{gathered}`

So equation of circle is,

`(x-5)^2+(y+4)^2=49`

Answer: C