document.write( "Question 1203796: Y is the center of the circle.
\n" ); document.write( "Arc CD = 30°
\n" ); document.write( "Arc AB = Arc AE
\n" ); document.write( "Arc ED = 120°
\n" ); document.write( "YC is perpendicular to BD
\n" ); document.write( "AB = 10cm
\n" ); document.write( "BG = 4cm
\n" ); document.write( "GC = 2cm\r
\n" ); document.write( "\n" ); document.write( "Solve for AE, YC and CD\r
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Algebra.Com's Answer #840286 by greenestamps(13208)\"\" \"About 
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\n" ); document.write( "The given information is inconsistent.

\n" ); document.write( "With BG=4 and YC perpendicular to BD, DG is also 4; arc CD equal to 30 degrees means the radius of the circle is 8.

\n" ); document.write( "Also with arc CD equal to 30 degrees and YC perpendicular to BD, arc BC is also 30 degrees, which makes EB a diameter of the circle. Then with arcs AB and AE having the same measure, each of them is 90 degrees, which makes AYB an isosceles right triangle. Then AB=10 means the radius of the circle is 5*sqrt(2), contradicting the information that it is 8.

\n" ); document.write( "Correct the given information and re-post the problem.

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