document.write( "Question 1198840: In the circle, the area of sector OAB is 4/3 π cm². The area of the shaded region, in cm² , is?\r
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Algebra.Com's Answer #832497 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "The area of sector OAB is (4/3)pi cm^2.

\n" ); document.write( "Angle AOB is 120 degrees, so the sector is 1/3 of the circle.

\n" ); document.write( "So the area of the whole circle is 4pi cm^2; so the radius of the circle is 2 cm.

\n" ); document.write( "Triangles ADC and BDO are congruent, so the shaded area is the same as the area of sector COB.

\n" ); document.write( "The area of sector COB is half the area of sector OAB, which is given as being (4/3)pi cm^2.

\n" ); document.write( "ANSWER: (2/3)pi cm^2

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