Question 1197553
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The area of the hall = {{{(R^2*alpha)/2}}},  where {{{alpha}}}  is the central angle in radians.


{{{alpha}}} = {{{2*pi*(120/360)}}} = {{{(2/3)*pi}}} = {{{(2/3)*3.14}}} = 2.093333333 radians,  therefore


the area of the hall = {{{(17^2*2.093333333)/2}}} = 302.4867 square feet  (rounded).   <U>ANSWER</U>
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Solved.