Answer: Choice D) 1661 cm^2
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Step-by-step explanation:
The diameter is 46 cm, which cuts in half to the radius of 23 cm.
area = pi*(radius)^2
A = pi*r^2
A = pi*23^2
A = pi*529
A = 529pi
This is the exact area in terms of pi.
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From here, replace pi with an approximation such as 3.14
529*pi = 529*3.14 = 1661.06
This value is approximate of course. To get a better approximation, use more decimal digits of pi.
This then rounds to 1661 square cm.