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GMAT Prep
A thin piece of wire 40 meters long is cut into two pieces. One piece is used to form a circle with radius R, and the other is used to form a square. No wire is left over. Which of the following represents the total area, in square meters, of the circular and square regions in terms of R?
$$A.\ \pi R^2$$
$$B.\ \pi R^2+10$$
$$C.\ \pi R^2+\frac{1}{4}\pi^2R^2$$
$$D.\ \pi R^2+\left(40-2\pi R\right)^2$$
$$E.\ \pi R^2+\left(10-\frac{1}{2}\pi R\right)^2$$
OA E.
A thin piece of wire 40 meters long is cut into two pieces. One piece is used to form a circle with radius R, and the other is used to form a square. No wire is left over. Which of the following represents the total area, in square meters, of the circular and square regions in terms of R?
$$A.\ \pi R^2$$
$$B.\ \pi R^2+10$$
$$C.\ \pi R^2+\frac{1}{4}\pi^2R^2$$
$$D.\ \pi R^2+\left(40-2\pi R\right)^2$$
$$E.\ \pi R^2+\left(10-\frac{1}{2}\pi R\right)^2$$
OA E.
