Maths : Geometry: Book Back, Exercise, Example Numerical Question with Answers, Solution : Exercise 4.4: Cyclic Quadrilaterals

**Cyclic Quadrilaterals**

**Exercise 4.4**

**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 **

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 **

**(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**

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

**7. In figure, ****∠***ABC*** ****=****120º,
where A,B and C are points on the circle with centre O.
Find **

**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**

**9. In the given figure, ****∠***POQ*** ****=**** 100 ^{0
}and **

Tags : Numerical Problems with Answers, Solution | Geometry | Maths , 9th Maths : UNIT 4 : Geometry

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9th Maths : UNIT 4 : Geometry : Exercise 4.4: Cyclic Quadrilaterals | Numerical Problems with Answers, Solution | Geometry | Maths

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