{"status": "success", "data": {"description_md": "Let $ABCD$ be a square of side length $2$. Draw an equilateral triangle $ABE$, sharing side $AB$ with the $ABCD$, and with point $E$ outside $ABCD$. Find the area of the circle with diameter $ED$.\n\n<img src=\"/static/p1.20.png\" width=\"300px\"><br>\n\n$(\\textbf{A})\\;2\\pi+\\pi\\sqrt{3}\\quad(\\textbf{B})\\;\\pi+2\\pi\\sqrt{3}\\quad(\\textbf{C})\\;2\\pi+2\\pi\\sqrt{3}\\quad(\\textbf{D})\\;\\pi+\\sqrt{3}\\quad(\\textbf{E})\\;4\\pi$", "description_html": "<p>Let <span class=\"katex--inline\">ABCD</span> be a square of side length <span class=\"katex--inline\">2</span>. Draw an equilateral triangle <span class=\"katex--inline\">ABE</span>, sharing side <span class=\"katex--inline\">AB</span> with the <span class=\"katex--inline\">ABCD</span>, and with point <span class=\"katex--inline\">E</span> outside <span class=\"katex--inline\">ABCD</span>. Find the area of the circle with diameter <span class=\"katex--inline\">ED</span>.</p>&#10;<p><img src=\"/static/p1.20.png\" width=\"300px\"/><br/></p>&#10;<p><span class=\"katex--inline\">(\\textbf{A})\\;2\\pi+\\pi\\sqrt{3}\\quad(\\textbf{B})\\;\\pi+2\\pi\\sqrt{3}\\quad(\\textbf{C})\\;2\\pi+2\\pi\\sqrt{3}\\quad(\\textbf{D})\\;\\pi+\\sqrt{3}\\quad(\\textbf{E})\\;4\\pi</span></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "Mock AMC 8 #1 - Problem 20", "can_next": true, "can_prev": true, "nxt": "/problem/amc8mock1-p21", "prev": "/problem/amc8mock1-p19"}}