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Omni-MATH / In square PQRS with side length 2, each of P,Q,R, and S is the centre of a circle with radius 1. What is the area of the shaded region?

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problem

In square PQRSPQRS with side length 2, each of P,Q,RP, Q, R, and SS is the centre of a circle with radius 1. What is the area of the shaded region?
Plain-text mathematical notation (without MathML)
In square PQRS with side length 2, each of P,Q,R, and S is the centre of a circle with radius 1. What is the area of the shaded region?
Original LaTeX notation
In square $PQRS$ with side length 2, each of $P, Q, R$, and $S$ is the centre of a circle with radius 1. What is the area of the shaded region?

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