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The sector is colored green. You can see that the area of this sector is smaller than the area of the circle, but close to it. You are given the area of the circle, so don't have to calculate that. what you do have to do is to calculate what portion of the circle is colored green. The central angle connected with that portion / sector is (5/3) i, whreas the central angle of a whole circle is 2pi, or 6pi/3. What fraction is formed by (5/3) over (6pi/3)?
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