In the given figure, P, Q, and R are three points on a circle of radius 10 cm…

GATE · 2026 · DA · General AptitudeGATE · 2026 · AR · General Aptitude

In the given figure, P, Q, and R are three points on a circle of radius 10 cm with O as its center, P̅Q̅ = R̅Q̅, and ∠ PQR = 45°. The figure is representative. The area of the shaded region PQRO is ______________ cm2.

Source circle diagram for GATE 2026 Q.10 showing P, Q, R, O, shaded region, and 45 degree angle.
  1. A.

    50

  2. B.

    25225\sqrt{2}

  3. C.

    50250\sqrt{2}

  4. D.

    100

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