{"status": "success", "data": {"description_md": "As shown in the figure below, six semicircles lie in the interior of a regular hexagon with side length 2 so that the diameters of the semicircles coincide with the sides of the hexagon. What is the area of the shaded region  inside the hexagon but outside all of the semicircles?\n\n<center>\n<img class=\"problem-image\" height=\"205\" src=\"https://latex.artofproblemsolving.com/4/1/d/41d2ef082ac9be6c166ace09f122eaf7d1ccb5e2.png\" width=\"235\"/>\n</center>\n\n$\\textbf {(A) } 6\\sqrt{3}-3\\pi \\qquad \\textbf {(B) } \\frac{9\\sqrt{3}}{2} - 2\\pi\\ \\qquad \\textbf {(C) } \\frac{3\\sqrt{3}}{2} - \\frac{\\pi}{3} \\qquad \\textbf {(D) } 3\\sqrt{3} - \\pi \\qquad \\textbf {(E) } \\frac{9\\sqrt{3}}{2} - \\pi$", "description_html": "<p>As shown in the figure below, six semicircles lie in the interior of a regular hexagon with side length 2 so that the diameters of the semicircles coincide with the sides of the hexagon. What is the area of the shaded region &#8212; inside the hexagon but outside all of the semicircles?</p>\n<center>\n<img class=\"problem-image\" height=\"205\" src=\"https://latex.artofproblemsolving.com/4/1/d/41d2ef082ac9be6c166ace09f122eaf7d1ccb5e2.png\" width=\"235\"/>\n</center>\n<p> <span class=\"katex--inline\">\\textbf {(A) } 6\\sqrt{3}-3\\pi \\qquad \\textbf {(B) } \\frac{9\\sqrt{3}}{2} - 2\\pi\\ \\qquad \\textbf {(C) } \\frac{3\\sqrt{3}}{2} - \\frac{\\pi}{3} \\qquad \\textbf {(D) } 3\\sqrt{3} - \\pi \\qquad \\textbf {(E) } \\frac{9\\sqrt{3}}{2} - \\pi</span> </p>\n<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2020 AMC 10B Problem 14", "can_next": true, "can_prev": true, "nxt": "/problem/20_amc10B_p15", "prev": "/problem/20_amc10B_p13"}}