How should you arrange 7 water fountains in a mall to minimize the longest possible walk?

The video tutorial explores the optimal arrangement of water fountains in a circular mall to minimize the maximum walking distance. Initially, the problem is simplified using three fountains, leading to a mathematical approach involving radius and arc calculations. The solution is extended to seven fountains, where a central fountain and six perimeter fountains are used. The tutorial concludes with a discussion on the complexity of the problem and references to further exploration.

What is the significance of the perimeter in determining the radius of the water fountains?

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How does the arrangement of water fountains change when increasing the number from three to seven?

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What is the optimal placement of the water fountains in relation to the mall's shape?

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