Question

Or the circle below, find the equation that represents that circle.

Answer 1

The general form for the equation of a circle is given by:

`(x-x_0)^2+(y-y_0)^2=r^2...(1)`

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

`\begin{gathered} (x_0,y_0)=(1,0) \\ r=3 \end{gathered}`

Finally, using (1):

`\begin{gathered} (x-1)^2+(y-0)^2=3^2 \\ \\ \therefore(x-1)^2+y^2=9 \end{gathered}`