In the figure above, the triangle $$ABC$$ is inscribed in a semicircle, with center $$O.$$ If $$CÔA = 120^{\circ}$$ and

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In the figure above, the triangle $$ABC$$ is inscribed in a semicircle, with center $$O.$$ If $$CÔA = 120^{\circ}$$ and

by Gmat_mission » Sun Sep 12, 2021 8:24 am

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In the figure above, the triangle $$ABC$$ is inscribed in a semicircle, with center $$O.$$ If $$CÔA = 120^{\circ}$$ and $$AC = 3\sqrt3,$$ what is the radius of the circle?

(a) $$\dfrac{4\sqrt3}5$$
(b) $$3$$
(c) $$2\sqrt3$$
(d) $$4$$
(e) $$9$$