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 the square regions in terms of r?
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A$$\pi{r}^{2}$$
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B$$\pi{r}^{2}+{10}$$
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C$$\pi{r}^{2}+\frac14\pi{r}^{2}$$
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D$$\pi{r}^{2}+({40}-{2}\pi{r})^{2}$$
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E$$\pi{r}^{2}+({10}-\frac12\pi{r})^{2}$$