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Ashwabh from ARMY PUBLIC SCHOOL, asked a question
Subject: Math , asked on 14/6/13

what is cyclic quadrilateral ? please explain it clearly .

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Rishabh Tripathi From Kendriya Vidyalaya, added an answer, on 14/6/13
224 helpful votes in Math

Definition of Cyclic Quadrilateral

  • If a quadrilateral has all of its vertices lying on a circle, then it is known as a Cyclic Quadrilateral.

More about Cyclic Quadrilateral

  • In a cyclic quadrilateral:
      1. Opposite angles are supplementary.
      2. Exterior angles are equal to the opposite interior angles. 
      3. The product of the two diagonals is equal to the sum of the products of opposite sides.

Example of Cyclic Quadrilateral

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Ayushi Sharma From M.g.m. Sr Sec School, added an answer, on 9/3/13
341 helpful votes in Math
Ayushi Sharma From M.g.m. Sr Sec School, added an answer, on 9/3/13
341 helpful votes in Math

A quadrilateral is called a cyclic quadrilateral if its all vertices lie on a circle.

The opposite angles of a cyclic quadrilateral are supplementary.

Here, quadrilateral ABCD is cyclic.

Also,  A +  C = 180°

and,  B +  D = 180°.

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