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In the figure shown, the circle has a diameter of 10, which is also the side length of the implied square. If an outline is formed by half the circle, one quarter of the square, and a straight line connecting the perpendicular bisectors of the circle, what is the perimeter of this shape?A. 5+5(\pi + \sqrt{2})
B. 10 + 10\pi +5 \sqrt{2}
C. 10 + 5(\pi + \sqrt{2})
D. 15 +\pi \sqrt{2}
E. 10\pi\sqrt{3}