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vichka [17]
3 years ago
9

50 points

Mathematics
1 answer:
Artemon [7]3 years ago
3 0

Answer:

difference\hspace{0.2cm} between\hspace{0.2cm} the\hspace{0.2cm} two\hspace{0.2cm} areas\hspace{0.2cm} =\hspace{0.2cm} 9(2\sqrt{3} -\pi)

Step-by-step explanation:

i) area of circle = \pi \times r^{2}  = 9\pi \hspace{0.1cm} where \hspace{0.1cm}r = 3.

ii) therefore side of hexagon, a = 2\sqrt{3}

iii) therefore area of hexagon, A = \frac{3\sqrt{3} }{2} a^{2}  =  \frac{3\sqrt{3} }{2} \times 12 = 18\sqrt{3}

iv) difference between the two areas in iii) and i)  =9(2\sqrt{3} -\pi)

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