Area of the shaded segment=

Junkie asked Oct 27, 2023

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Junkie asked Oct 27, 2023

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22 votes

The area of the entire sector is
$(\pi)(6^(2)) \left((60)/(360) \right)=6\pi$

The area of the triangle OAB is
(√(3))/(4)(6^(2))=9√(3) .

So, the area of the segment is
$\boxed{6\pi-9√(3)}$

Ivan Fretes answered Nov 1, 2023

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