Assignments for Class 9 Mathematics Circle have been developed for Standard 9 students based on the latest syllabus and textbooks applicable in CBSE, NCERT and KVS schools. Parents and students can download the full collection of class assignments for class 9 Mathematics Circle from our website as we have provided all topic wise assignments free in PDF format which can be downloaded easily. Students are recommended to do these assignments daily by taking printouts and going through the questions and answers for Grade 9 Mathematics Circle. You should try to do these test assignments on a daily basis so that you are able to understand the concepts and details of each chapter in your Mathematics Circle book and get good marks in class 9 exams.

**Key Concepts for Class 9 Mathematics Circle**

**Key Concepts for Class 9 Mathematics Circle****•** Circle – circle is locus of such points which are at equidistant from a fixed point in a plane.**• **Concentric circle – Circle having same centre called concentric circle.

• Two arc of a circle called congruent if they have the same degree measure.

• If two arc equal then their corresponding chords are equal.

• The perpendicular from centre to chord of circle, it bisects the chord and converse.

• There is one and only one circle passing through three non-collinear points.

• Equal chords of circle are equidistant from centre.

• The angle subtend by an arc at the centre of circle is twice the angle which subtend at remaining part of circumference.

• Any two angles in the same segment of the circle are equal.

• Angle of semicircle is right angle.

• Equal chords of circle subtend equals angle at the centre of circle.

• If the all vertices of a quadrilateral lie on the circumference of circle then quadrilateral called cyclic.

• In a cycle quadrilateral the sum of opposite angles is 1800 and converse.

• The exterior angle of a cycle quadrilateral is equal to the opposite interior angle.

**Class 9 Mathematics Circle** Assignments

**Class 9 Mathematics Circle Important Questions and Answers**

**Question. AD is diameter of a circle and AB is a chord If AD = 34cm, AB=30cm. The distance of AB from centre of circle is.**

(a) 17cm

(b) 15cm

(c) 4 cm

(d) 8cm

**Ans.**

8cm

**Question.** Given two concentric circles with centre O. A line cut the circle at A, B, C and D respectively if AB = 10cm then length of CD.

(a) 5cm

(b) 10cm

(c) 3.5cm

(d) 7.5cm

**Ans.**

10cm

**Question.** ABC is a right angle triangle, right angled at A. A circle is inscribed in it. The length of two sides containing angle A is 12cm and 5cm find the radius.

**Ans.**

2cm.

**Question.** In given figure value of y is

(a) 35^{0 }

(b) 45^{0}

(c) 70^{0 }

(d) 140^{0}

**Ans.**

35^{0}

**Question.** In the given figure, ∠DBC = 55^{0}, ∠BAC = 45^{0} then ∠BCD is

(a) 45^{0}

(b) 55^{0 }

(c) 100^{0 }

(d) 80^{0}

**Ans.**

80^{0}

**Question.** Given three collinear points then the number of circles which can be drawn through these three points are.

(a) one

(b) two

(c) infinite

(d) none

**Ans.**

none

**Question.** In the given figure, ∠CAB is ………………….., given ∠AOB = 90^{0}, ∠CBA = 30^{0}

**Ans.**

105^{0}

**Question.** In given figure, O is centre of circle if ∠ABC = 20^{0} then ∠AOC is equal to :

(a) 20^{0}

(b) 40^{0 }

(c) 60^{0}

(d) 10^{0}

**Ans.**

40^{0}

**Question.** In the given figure. O is the centre of circle, ∠BCO = 30^{0} ∠AEB = 90^{0} and OD || BC find x and y.

**Ans.**

30^{0}, 15^{0}

**Question.** If 0 is centre of circle as shown in the figure, ∠CBD,

**Ans.**

55^{0}

**Question.** In the given figure, O is centre of circle of radius 5cm. OP ⊥ CD, AB||CD. AB = 6cm and CD = 8cm, Determine PQ

**Ans.**

1cm

**Question.** In the given figure determine a, b and c.

**Ans.**

a=105,b=13,c=62

**Question.****ABCD is a parallelogram. The circle through A, B and C intersects CD produced at E. If AB=10cm, BC=8cm, CE=14cm. Find AE.**

**Ans.**

8cm

**Question.** In the given figure, 0 is the center of the circle with radius 5cm OP ⊥ CD, OQ ⊥ AB**AB||CD, AB = 6CM and = 8cm determine PQ**

**Ans.**

7 cm.

**Question.** In the given figure , ∠BAC = 55^{0}, ∠BCA = 62^{0} the altitude BE produced meets the circle at D, determine ∠ACD, ∠DAC and ∠ADB

**Ans.**

35^{0}, 28^{0}, 62^{0}

**Question.****Two circles interest each other at points A and B. AP and AQ are diameters of the two circles respectively. If ∠ APB = 40 ^{0} and ∠AQB = 70^{0}, find ∠PAB and ∠QAB**

**Ans.**

50^{0}, 20^{0}

## Assignments for Class 9 Mathematics Circle as per CBSE NCERT pattern

All students studying in Grade 9 Mathematics Circle should download the assignments provided here and use them for their daily routine practice. This will help them to get better grades in Mathematics Circle exam for standard 9. We have made sure that all topics given in your textbook for Mathematics Circle which is suggested in Class 9 have been covered ad we have made assignments and test papers for all topics which your teacher has been teaching in your class. All chapter wise assignments have been made by our teachers after full research of each important topic in the textbooks so that you have enough questions and their solutions to help them practice so that they are able to get full practice and understanding of all important topics. Our teachers at https://www.assignmentsbag.com have made sure that all test papers have been designed as per CBSE, NCERT and KVS syllabus and examination pattern. These question banks have been recommended in various schools and have supported many students to practice and further enhance their scores in school and have also assisted them to appear in other school level tests and examinations. Its easy to take print of thee assignments as all are available in PDF format.

**Some advantages of Free Assignments for Class 9 Mathematics Circle**

- Solving Assignments for Mathematics Circle Class 9 helps to further enhance understanding of the topics given in your text book which will help you to get better marks
- By solving one assignment given in your class by Mathematics Circle teacher for class 9 will help you to keep in touch with the topic thus reducing dependence on last minute studies
- You will be able to understand the type of questions which are expected in your Mathematics Circle class test
- You will be able to revise all topics given in the ebook for Class 9 Mathematics Circle as all questions have been provided in the question banks
- NCERT Class 9 Mathematics Circle Workbooks will surely help you to make your concepts stronger and better than anyone else in your class.
- Parents will be able to take print out of the assignments and give to their child easily.

All free Printable practice assignments are in PDF single lick download format and have been prepared by Class 9 Mathematics Circle teachers after full study of all topics which have been given in each chapter so that the students are able to take complete benefit from the worksheets. The Chapter wise question bank and revision assignments can be accessed free and anywhere. Go ahead and click on the links above to download free CBSE Class 9 Mathematics Circle Assignments PDF.

**Where can I download free Assignments for Class 9 Mathematics Circle****?**You can download free assignments for class 9 Mathematics Circle from https://www.assignmentsbag.com

**I want free printable assignments with questions and answers for Mathematics Circle for Standard 9, where can I get them ?**You can get free PDF downloadable assignments for Grade 9 Mathematics Circle from our website which has been developed by teachers after doing extensive research in each topic.

**Can I get assignments and question banks for other subjects in Class 9 ?**On our website we have provided assignments for all subjects in Grade 9, all topic wise test sheets have been provided in a logical manner so that you can scroll through the topics and download the worksheet that you want.

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**Are all assignments available for free and in PDF format ?**Yes all test papers for Mathematics Circle Class 9 are available for free, no charge has been put so that the students can benefit from it. And offcourse all is available for download in PDF format and with a single click you can download all assignments.

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