Let ABCD be a parallelogram inscribed in a circle. Opposite angles of a cyclic quadrilateral are supplementary, while opposite angles of a parallelogram are equal. Therefore, each angle is 90°. Hence, ABCD is a rectangle.
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Let ABCD be a parallelogram inscribed in a circle. Opposite angles of a cyclic quadrilateral are supplementary, while opposite angles of a parallelogram are equal. Therefore, each angle is 90°. Hence, ABCD is a rectangle.
Let ABCD be a parallelogram inscribed in a circle. Since it is cyclic, its opposite angles are supplementary.
Also, opposite angles of a parallelogram are equal.
Therefore,
∠A + ∠C = 180°
and ∠A = ∠C.
Thus, 2∠A = 180°, so ∠A = 90°. Similarly, all four angles are 90°.
Hence, the parallelogram is a rectangle. Therefore, a rectangle is the only parallelogram that can be inscribed in a circle.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 5 I’m Up and Down and Round and Round (2026-27):
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-5/