Question

Please find the equation of the circle (ignore what is entered).

Answer 1

The general standard equation for a circle with radius r centered at (h, k) is:

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

In this problem, since the circle is centered at the origin, the point (h, k) is (0, 0). So, substituting it:

`\begin{gathered} (x-0)^2+(y-0)^2=r^2 \\ or \\ x^2+y^2=r^2 \end{gathered}`

Now, it is only necessary to find the radius. It is given in the picture (x-axis) and it has a value of 8.

So, the equation is:

`\begin{gathered} (x-0)^2+(y-0)^2=8^2 \\ or\text{ } \\ (x)^2+(y)^2=8^2 \end{gathered}`