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The radius is 14.64 feet.
Pythagorean Theorem: a2+b2=c2 c=diagonal, a and b are side lengths for a right triangle (a rectangle is basically two right triangles) 92=52+a2 a2=92-52 a=~7.48 feet 7.48 feet*5 feet = 37.41 feet = the area of the rectangle
radius = 92/(2*pi) = 14.642 feet to 3 decimal places
If the dimensions of the room are 120 ft by 92 ft, the area of the room is 120*92=11040 square feet. If each person requires 4 square feet, then divide 11040 by 4. The seating capacity of the restaurant's dining room is 2760 people.
Any polygon can gave an interior angle of 92 degrees. However, no regular polygon can have interior angles of 92 degrees.