The trapezoid is trapped in the circle!

Geometry Level 2

We see circles A and B of radius 1 in the diagram. Find the area of the trapezoid. If this area is expressible in the form $\dfrac{a \sqrt{b}}{c}$ , where $a, c$ are coprime and $b$ is square-free, find $a + b + c$ .

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The trapezoid is trapped in the circle!

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 7 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.