Question

Determine the equation of the circle graph below sure explanation needed only numbers no words

Answer 1

From the graph, we see that the position of the center and the radius of the circle are:

From the general form of the equation of a circle:

$r^2=(x-x_0)^2+(y-y_0)^2$

Where r is the radius of the circle and (x₀, y₀) is the position of the center. From the problem, we identify:

$\begin{gathered} r=3 \\ (x_0,y_0)=(-3,7) \end{gathered}$

Finally, using the general form of the circle equation:

$\begin{gathered} 3^2=(x-(-3))^2+(y-7)^2 \\ \\ \therefore(x+3)^2+(y-7)^2=9 \end{gathered}$