Eighteen less than three times a number is twice the number is twice the number. Define a variable, write an equation, and solve
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Since the area of a circle is π
, and our radius is 9 we know the total area to be 254.469, and the ratio of sector area to total area is 169.56/254.469 = .6663. There are 360 degrees in a circle, so: 
≈ 240°
240 degrees
240 degrees