The equation of the circle, x² + y² = 100, represents a circle centered at the origin (0, 0) with a radius of 10. This can be derived from the standard form of the equation of a circle, which is given by (x – h)² + (y – k)² = r², where (h, k) is the center and r is the radius.
In this case, there are no terms subtracted from x or y, indicating that the center is at (0, 0). To find the radius, we take the square root of 100, which is 10.
Therefore, any statement claiming that the circle has a radius of 10 and is centered at the origin is true. Alternatively, any statement that suggests the radius is anything other than 10 or the center is not at the origin is false.