The problem asks to find the center of a circle given its equation $x^2 + y^2 = 100$.

1. Problem Description

The problem asks to find the center of a circle given its equation $x^2 + y^2 = 100$.

2. Solution Steps

The general equation of a circle with center $(h, k)$ and radius $r$ is given by:

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

The given equation is $x^2 + y^2 = 100$. We can rewrite this as:

$(x - 0)^2 + (y - 0)^2 = 10^2$

Comparing this with the general equation, we can identify the center as $(h, k) = (0, 0)$ and the radius as $r = 10$.

3. Final Answer

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