Problem

Problem of the Day #111

POTD March 29, 2024

Let 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 $a+b+c+d$ .

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Category: Problem of the Day
Points: 4
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