A

To understand the relationship between gravity at the poles and the equator, we need to consider a few key factors:
1. **Centrifugal Force**: The Earth rotates on its axis, creating a centrifugal force that acts outward. At the equator, this force is maximum, thus reducing the effective gravitational force.
2. **Shape of the Earth**: The Earth is not a perfect sphere; it is an oblate spheroid, meaning it is slightly flattened at the poles and bulging at the equator. This affects the distance from the center of the Earth, where gravitational acceleration is generated.
3. **Mathematical Relationship**: The acceleration due to gravity can be expressed as:
$$ g = g_{0} - rac{mv^{2}}{r} $$
where $g_{0}$ is the gravitational acceleration, $m$ is the mass of the object, $v$ is the velocity due to rotation, and $r$ is the radius.
Therefore, the acceleration due to gravity is larger at the poles than at the equator due to the reasons stated above. Thus, Option A accurately reflects this relationship.