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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
Answered on 14/6/13

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
Answered on 9/3/13

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°.

Ayushi Sharma , From M.g.m. Sr Sec School , added an answer
Answered on 9/3/13