Question 566597
A semicircle is inscribed in a rectangle with area 144 square centimeters. In square cm,
what is the area of the semicircle?
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let x=radius of inscribed semicircle
x=width of rectangle
2x=length of rectangle
..
Area of rectangle=length*width=2x*x=2x^2=144
x^2=144/2=72
..
area of semicircle=1/2πx^2=1/2π*72=36π