A geometry problem by A Former Brilliant Member

Geometry Level 2

Each of the blue arcs above is a quarter circle of radius 2 feet. The white region in the middle is a circle and touches the four blue arcs. What is the area of the shaded part?

Give your answer to 2 decimal places.

0.10 square feet 0.16 square feet 0.12 square feet 0.18 square feet

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