{"status": "success", "data": {"description_md": "The shaded region below is called a shark's fin falcata, a figure studied by Leonardo da Vinci. It is bounded by the portion of the circle of radius $3$ and center $(0,0)$ that lies in the first quadrant, the portion of the circle with radius $\\tfrac{3}{2}$ and center $(0,\\tfrac{3}{2})$ that lies in the first quadrant, and the line segment from $(0,0)$ to $(3,0)$. What is the area of the shark's fin falcata?\n\n
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\n\n$\\textbf{(A) } \\dfrac{4\\pi}{5} \\qquad\\textbf{(B) } \\dfrac{9\\pi}{8} \\qquad\\textbf{(C) } \\dfrac{4\\pi}{3} \\qquad\\textbf{(D) } \\dfrac{7\\pi}{5} \\qquad\\textbf{(E) } \\dfrac{3\\pi}{2}$", "description_html": "

The shaded region below is called a shark’s fin falcata, a figure studied by Leonardo da Vinci. It is bounded by the portion of the circle of radius 3 and center (0,0) that lies in the first quadrant, the portion of the circle with radius \\tfrac{3}{2} and center (0,\\tfrac{3}{2}) that lies in the first quadrant, and the line segment from (0,0) to (3,0) . What is the area of the shark’s fin falcata?

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\\textbf{(A) } \\dfrac{4\\pi}{5} \\qquad\\textbf{(B) } \\dfrac{9\\pi}{8} \\qquad\\textbf{(C) } \\dfrac{4\\pi}{3} \\qquad\\textbf{(D) } \\dfrac{7\\pi}{5} \\qquad\\textbf{(E) } \\dfrac{3\\pi}{2}

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Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.

", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 1, "problem_name": "2015 AMC 10B Problem 9", "can_next": true, "can_prev": true, "nxt": "/problem/15_amc10B_p10", "prev": "/problem/15_amc10B_p08"}}