{"status": "success", "data": {"description_md": "A circle of radius $2$ is inscribed in a semicircle, as shown. The area inside the semicircle but outside the circle is shaded. What fraction of the semicircle's area is shaded? \n\n
\n\n

\n\n$\\mathrm{(A)}\\ \\frac{1}{2}\n\\qquad\n\\mathrm{(B)}\\ \\frac{\\pi}{6}\n\\qquad\n\\mathrm{(C)}\\ \\frac{2}{\\pi}\n\\qquad\n\\mathrm{(D)}\\ \\frac{2}{3}\n\\qquad\n\\mathrm{(E)}\\ \\frac{3}{\\pi}$", "description_html": "

A circle of radius 2 is inscribed in a semicircle, as shown. The area inside the semicircle but outside the circle is shaded. What fraction of the semicircle’s area is shaded?


\\mathrm{(A)}\\ \\frac{1}{2} \\qquad \\mathrm{(B)}\\ \\frac{\\pi}{6} \\qquad \\mathrm{(C)}\\ \\frac{2}{\\pi} \\qquad \\mathrm{(D)}\\ \\frac{2}{3} \\qquad \\mathrm{(E)}\\ \\frac{3}{\\pi}

", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 1, "problem_name": "2009 AMC 10A Problem 6", "can_next": true, "can_prev": true, "nxt": "/problem/09_amc10A_p07", "prev": "/problem/09_amc10A_p05"}}