**Practice Questions Worksheet on Circles and Cyclic Quadrilateral :**

Here we are going to see some practice questions on circles and cyclic quadrilaterals.

(1) Find the value of x in the given figure.

(2) In the given figure, AC is the diameter of the circle with centre O. If <ADE = 30° ; <DAC = 35° and <CAB = 40°. Find (i) <ACD (ii) <ACB (iii) <DAE

(3) Find all the angles of the given cyclic quadrilateral ABCD in the figure.

(4) In the given figure, ABCD is a cyclic quadrilateral where diagonals intersect at P such that <DBC = 40° and <BAC = 60° find

(i) <CAD (ii) BCD

(5) In the given figure, AB and CD are the parallel chords of a circle with centre O. Such that AB = 8cm and CD = 6cm. If OM ⊥ AB and OL ⊥ CD distance between LM is 7cm. Find the radius of the circle.

(6) The arch of a bridge has dimensions as shown, where the arch measure 2 m at its highest point and its width is 6 m. What is the radius of the circle that contains the arch?

(7) In figure, <ABC =120 , where A,B and C are points on the circle with centre O. Find <OAC ?

(8) A school wants to conduct tree plantation programme. For this a teacher allotted a circle of radius 6m ground to nineth standard students for planting sapplings. Four students plant trees at the points A,B,C and D as shown in figure. Here AB = 8m, CD = 10m and AB is perpendicular to CD. If another student places a flower pot at the point P, the intersection of AB and CD, then find the distance from the centre to P.

(9) In the given figure, <POQ = 100 and <PQR = 30, then find <RPO .

After having gone through the stuff given above, we hope that the students would have understood, "Practice Questions Worksheet on Circles and Cyclic Quadrilateral

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