The area of the circle inscribed in the graph is What is the value of
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The graph ∣ x − 2 ∣ + ∣ y − 7 ∣ = 1 2 represents a square with vertices at ( x , y ) = ( 2 , − 5 ) ; ( 2 , 1 9 ) ; ( − 1 0 , 7 ) ; ( 1 4 , 7 ) and side length of 1 2 2 . The inscribed circle has an area equal to:
A = 4 π d 2 = 4 π ( 1 2 2 ) 2 = 7 2 π .