{"status": "success", "data": {"description_md": "Rhombus $ABCD$ has side length $2$ and $\\angle B = 120^\\circ$. Region $R$ consists of all points inside the rhombus that are closer to vertex $B$ than any of the other three vertices. What is the area of $R$?\n\n$\\textbf{(A)}\\ \\frac{\\sqrt{3}}{3} \\qquad\\textbf{(B)}\\ \\frac{\\sqrt{3}}{2} \\qquad\\textbf{(C)}\\ \\frac{2\\sqrt{3}}{3} \\qquad\\textbf{(D)}\\ 1 + \\frac{\\sqrt{3}}{3} \\qquad\\textbf{(E)}\\ 2$", "description_html": "<p>Rhombus  <span class=\"katex--inline\">ABCD</span>  has side length  <span class=\"katex--inline\">2</span>  and  <span class=\"katex--inline\">\\angle B = 120^\\circ</span> . Region  <span class=\"katex--inline\">R</span>  consists of all points inside the rhombus that are closer to vertex  <span class=\"katex--inline\">B</span>  than any of the other three vertices. What is the area of  <span class=\"katex--inline\">R</span> ?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)}\\ \\frac{\\sqrt{3}}{3} \\qquad\\textbf{(B)}\\ \\frac{\\sqrt{3}}{2} \\qquad\\textbf{(C)}\\ \\frac{2\\sqrt{3}}{3} \\qquad\\textbf{(D)}\\ 1 + \\frac{\\sqrt{3}}{3} \\qquad\\textbf{(E)}\\ 2</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": "2011 AMC 10B Problem 20", "can_next": true, "can_prev": true, "nxt": "/problem/11_amc10B_p21", "prev": "/problem/11_amc10B_p19"}}