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Since the radius of circle S is half the radius of circle L, the radius of circle S is 8 mm / 2 = 4 mm.
To find the area of a circle, you use the formula A = πr^2. Plugging in the radius of circle S (4 mm), we get:
A = π(4 mm)^2
A = π(16 mm^2)
A ≈ 50.24 mm^2
Therefore, the closest measurement to the area of circle S is 50.24 mm^2.