Question

how would i find/answer this problem?Write the equation of the circle:

Answer 1

We have that the equation of the circle is the following:

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

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

In this case,we have that the center is the point:

$(h,k)=(3,0)$

also, notice that between the center and any point of the circle are 5 units away, therefore, r = 5.

Then, the equation of the circle is the following:

$\begin{gathered} (x-3)^2+(y-0)^2=(5)^2 \\ \Rightarrow(x-3)^2+y^2=25 \end{gathered}$