A circle with centre $\mathrm{O}$ 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______________
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(A) $\pi a^{2}-a^{2}$
(B) $\pi a^{2}-\sqrt{2} a^{2}$
(C) $\pi a^{2}-2 a^{2}$
(D) $\pi a^{2}-3 a^{2}$
(B) $\pi a^{2}-\sqrt{2} a^{2}$
(C) $\pi a^{2}-2 a^{2}$
(D) $\pi a^{2}-3 a^{2}$
Question ID - 157493 | SaraNextGen Top Answer A circle with centre $\mathrm{O}$ 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______________
(A) $\pi a^{2}-a^{2}$
(B) $\pi a^{2}-\sqrt{2} a^{2}$
(C) $\pi a^{2}-2 a^{2}$
(D) $\pi a^{2}-3 a^{2}$
A circle with centre $\mathrm{O}$ 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______________
(A) $\pi a^{2}-a^{2}$
(B) $\pi a^{2}-\sqrt{2} a^{2}$
(C) $\pi a^{2}-2 a^{2}$
(D) $\pi a^{2}-3 a^{2}$
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