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now for this question we need to locate the centroid x bar and y bar of the shaded area so this will be part one this will be part two this will be part three and this non-shaded area will be part four and i will create a table and we have to find all these components for each of these part first one is the area second one is the x bar and then the y bar and then you have to find x a and y a okay so for the first part because this is a quarter circle right so the area for a quartal circle is going to be pi over 4 r squared r here is 3 so it'll be 3 square and then for the centroid of a quarter circle the formula is four r over three pi okay and that is for x and y bar right so x bar and y bar is equal to four r over three pi now the radius is 3 so it's going to be 4 multiplied by 3 divided by 3 pi so we can cancel this out so that's gives us 4 over pi right it's the same for x bar and y bar okay and then we multiply with the area right so x a is going to be 9 and y a is going to be 9...