Cyclic Quadrilateral

Cyclic Quadrilateral

Cyclic Quadrilateral

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Cyclic quadrilateral

If all four points of a quadrilateral are on circle then it is called cyclic Quadrilateral.


A quadrilateral PQRS is said to be cyclic quadrilateral if there exists a circle passing through all its four vertices P, Q, R and S.

Let a cyclic quadrilateral be such that
PQ = a, QR = b, RS = c and SP = d.
Then ∠Q + ∠S = 180°, ∠A + ∠C = 180°
Let  2s = a + b + c + d

(1) Circumradius of cyclic quadrilateral: Circum circle of quadrilateral PQRS is also the circumcircle of ∆PQR.

CYCLIC QUADRILATERAL