2r = diameter of the circle.

Diameter of the circle = side of the square

since the adjacent sides of the squares are at 90 degrees, the diagonal = \(2r\sqrt{2}\)

This is because a

90-45-45 triangle will be formed between 2 sides of the square and the diagonal

now simplify

option A is:

\(2r\sqrt{2}\)

option B is:

\(\frac{5r}{2}\)

cancel r from both sides, then multiplying both sides by 2 we get,

option A = \(4\sqrt{2}\)

option B =

5
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This is my response to the question and may be incorrect. Feel free to rectify any mistakes