Question

How would i write/ find the equation for this problem?

Answer 1

Let's begin by identifying key information given to us:

Center = (3, 0)

`\begin{gathered} Center\colon(h,k)=(3,0)_{} \\ Radius\colon r=5 \\ \text{The formula for equation of a circle is given by:} \\ (x-h^2)+(y-k^2)=r^2 \\ (h,k)=(3,0)_{},r=5 \\ (x-3^2)+(y-0^2)=5^2 \\ (x-3^2)+(y-0^2)=25 \\ \\ \therefore(x-3^2)+(y-0^2)=25 \end{gathered}`