Question

(G.12, a points) A circle has a center at (-6.5) and a radius of 8 units. Create the equation of this circle (x + 6² (y + 5) 42 (y - 5) 82 (x - h) (-k) 72

Answer 1

Information given:

Center at (-6, 5)

Radius= 8 units.

A circle is represented by the following expression:

`\begin{gathered} (x-h)^2+(y-k)^2=r^2 \\ \text{where, } \\ (h,k)\text{ is th center} \\ r\text{ is the radius} \end{gathered}`

Then, the equation of this circle would be:

`(x+6)+(y-5)=8^2`