Answer: D) 1879.65
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Work Shown:
The rectangle has area 33*44 = 1452 square inches. This is just part of the answer. The semicircle up top must be accounted for as well.
This semicircle has a radius of r = a/2 = 33/2 = 16.5 inches
The area of the semicircle is (1/2)*pi*r^2 = (1/2)*3.14*(16.5)^2 = 427.4325
This adds to the area of the rectangle to get 427.4325+1452 = 1,879.4325
This is fairly close to choice D, though we're a bit off.
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The reason for the error is because of how pi = 3.14 is an approximation. A more accurate version is pi = 3.1415926535898
Therefore, the area of the semicircle is closer to
(1/2)*pi*r^2 = (1/2)*3.1415926535898*(16.5)^2 = 427.649299969911
then we add on the rectangle area:
427.649299969911+1452 = 1,879.64929996991
that rounds to 1,879.65
