If a pond is circular, how can you determine its area?

To determine the area of a circular pond, the most appropriate formula is based on the radius or diameter of the circle. The area of a circle is calculated using the formula that involves π (pi) and the radius. The correct option would use the radius squared multiplied by π, which corresponds to the formula: Area = π × (Radius^2).

The formula for area that involves the diameter could also be transformed into a relevant form, since the radius is half the diameter, but it is not presented clearly in this context.

Conversely, the option that suggests calculating using the circumference divided by two would not yield the area in the correct mathematical terms. It confuses the relationship between circumference and area, as the area calculation requires the radius squared rather than a manipulation of circumference directly without addressing the dimensions required.

Thus, the correct understanding comes from recognizing how area is fundamentally derived from the radius of the circle, emphasizing the mathematical relationship which specifically dictates how to calculate the area of circular shapes accurately.