The longest distance that a person can swim is 5.64 m.
We know that the diameter of a circle is a line that is drawn from one point to another in the circle. Now we are told that the pool is circular in nature. That implies that the longest that a person can swim could be obtained form the diameter of the circle.
Given that;
A = πr^2
A = area of teh circular pool
r = radius of the pool
r = √A/ π
r = √25/3.142
r = 2.82m
Diameter of the circular pool = 2 r = 2 (2.82 cm) = 5.64 m
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Missing parts;
An ad for an above-ground pool states that it is 25 m2. From the ad, you can tell that the pool is a circle. If you swim from one point at the edge of the pool to another, along a straight line, what is the longest distance d you can swim? Express your answer in three significant figures.