What is the difference in the areas of the regular hexagon circumscribing a circle of radius \( ...

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What is the difference in the areas of the regular hexagon circumscribing a circle of radius \( 10 \mathrm{~cm} \) and the regular hexagon inscribed in the circle?
(a) \( 50 \mathrm{~cm}^{2} \)
(b) \( 50 \sqrt{3} \mathrm{~cm}^{2} \)
(c) \( 100 \sqrt{3} \mathrm{~cm}^{2} \)
(d) \( 100 \sqrt{3} \mathrm{~cm}^{2} \)
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