Question

Select the equation of the circle in the graph below?

Answer 1

`(x-3)^2+(y-2)^2=4`

Step-by-step explanation

The general equation of a circle is given as:

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

where (h, k) is the center and r is the radius

From the figure, we see that the center of the circle is (3, 2) and its radius is 2 units, since every point on the circumference of the circle is 2 units away from the center.

Therefore, the equation of the circle is:

`\begin{gathered} (x-3)^2+(y-2)^2=2^2 \\ \Rightarrow(x-3)^2+(y-2)^2=4 \end{gathered}`