Final answer:
The equation of a circle with its center at the origin (0, 0) and a radius that lies on the x-axis is x² + y² = r², where r is the radius of the circle.
Step-by-step explanation:
The equation of a circle in standard form with its center at the origin ((0, 0)) and a radius r that lies on the x-axis is expressed as x² + y² = r². This equation represents all the points (x, y) that are a distance r from the center of the circle. For a Ferris wheel, this equation models its circular path, assuming the wheel remains perfectly circular and does not tilt or warp.