Area Of A Sickle

Geometry Level 3

In the above diagram, each of the grid squares is a unit long. Also, all the arcs are quadrants. If the area of the shape enclosed by arcs $DB$ , $BJ$ , $JK$ , and $KD$ can be represented as $\dfrac{a \pi + b}{c},$ where $a,b,c$ are integers with $c$ positive, find the maximum value of $a+b+c$ .

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Area Of A Sickle

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.