{"status": "success", "data": {"description_md": "**POTD March 21, 2024**\n\nLet $ABCDEF$ be a regular hexagon with side length $2$. A circle with radius $3$ and center at $A$ is drawn. The area inside quadrilateral $BCDE$ but outside the circle can be written as $\\sqrt a - \\frac{b}{c} \\pi$, where $a,b,c$ are positive integers with $b$ and $c$ relatively prime. Find $a+b+c$.", "description_html": "<p><strong>POTD March 21, 2024</strong></p>&#10;<p>Let <span class=\"katex--inline\">ABCDEF</span> be a regular hexagon with side length <span class=\"katex--inline\">2</span>. A circle with radius <span class=\"katex--inline\">3</span> and center at <span class=\"katex--inline\">A</span> is drawn. The area inside quadrilateral <span class=\"katex--inline\">BCDE</span> but outside the circle can be written as <span class=\"katex--inline\">\\sqrt a - \\frac{b}{c} \\pi</span>, where <span class=\"katex--inline\">a,b,c</span> are positive integers with <span class=\"katex--inline\">b</span> and <span class=\"katex--inline\">c</span> relatively prime. Find <span class=\"katex--inline\">a+b+c</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "Problem of the Day #103", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}