A circle with centre O is shown in the figure. A rectangle PQRS of maximum…

GATE · 2020 · AE · General Aptitude

A circle with centre O is shown in the figure. A rectangle PQRS of maximum possible area is inscribed in the circle. If the radius of the circle is a, then the area of the shaded portion is _____.

Circle of radius a centred at O, with an inscribed rectangle PQRS drawn wider than tall; the regions inside the circle and outside the rectangle are shaded blue.
  1. A.

    πa2 − a2

  2. B.

    πa2−2a2\pi a^2-\sqrt{2}a^2

  3. C.

    πa2 − 2a2

  4. D.

    πa2 − 3a2

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