A = \frac{3\sqrt{3}}{2} s^2
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- The side length \( s \) of a regular hexagon inscribed in a circle is equal to the radius \( r \). For the original hexagon with radius 10 cm:
- s = 10 \text{ cm}
- The area \( A \) of a regular hexagon with side length \( s \) is given by:
- So, the area of the original hexagon is:
- A_1 = \frac{3\sqrt{3}}{2} \times 10^2 = 150\sqrt{3} \text{ cm}^2
- For the new hexagon with radius 11 cm:
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