{"status": "success", "data": {"description_md": "**POTD March 29, 2024**\n\nLet square ABCD have sidelength $4$. Let $\\omega_1$ be the circle centered at $B$ with radius $AB$ and let $\\omega_2$ be the circle with diameter $AD$. If the area of the intersections of $\\omega_1$ and $\\omega_2$ is $a\\pi-b\\arctan{c}-8$, where $a, b, c,$ and $d$ are positive integers, compute $a+b+c+d$.", "description_html": "<p><strong>POTD March 29, 2024</strong></p>&#10;<p>Let square ABCD have sidelength <span class=\"katex--inline\">4</span>. Let <span class=\"katex--inline\">\\omega_1</span> be the circle centered at <span class=\"katex--inline\">B</span> with radius <span class=\"katex--inline\">AB</span> and let <span class=\"katex--inline\">\\omega_2</span> be the circle with diameter <span class=\"katex--inline\">AD</span>. If the area of the intersections of <span class=\"katex--inline\">\\omega_1</span> and <span class=\"katex--inline\">\\omega_2</span> is <span class=\"katex--inline\">a\\pi-b\\arctan{c}-8</span>, where <span class=\"katex--inline\">a, b, c,</span> and <span class=\"katex--inline\">d</span> are positive integers, compute <span class=\"katex--inline\">a+b+c+d</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "Problem of the Day #111", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}