write the equation of this circle in standard form.

Explanation:

Step1: Identify the center

The center of the circle is at $(8,0)$.

Step2: Identify the radius

The radius $r = 1$ (by observing the grid - the circle extends 1 unit from the center in all directions).

Step3: Use the standard - form equation of a circle

The standard - form equation of a circle is $(x - h)^2+(y - k)^2=r^2$, where $(h,k)$ is the center and $r$ is the radius. Substituting $h = 8$, $k = 0$, and $r = 1$ into the equation, we get $(x - 8)^2+(y-0)^2=1^2$, which simplifies to $(x - 8)^2+y^2 = 1$.

Answer:

$(x - 8)^2+y^2=1$