# Assignments For Class 9 Mathematics Circle

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

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 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) 350
(b) 450
(c) 700
(d) 1400

Ans.

350

Question. In the given figure, ∠DBC = 550, ∠BAC = 450 then ∠BCD is

(a) 450
(b) 550
(c) 1000
(d) 800

Ans.

800

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 = 900, ∠CBA = 300

Ans.

1050

Question. In given figure, O is centre of circle if ∠ABC = 200 then ∠AOC is equal to :

(a) 200
(b) 400
(c) 600
(d) 100

Ans.

400

Question. In the given figure. O is the centre of circle, ∠BCO = 300 ∠AEB = 900 and OD || BC find x and y.

Ans.

300, 150

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

Ans.

550

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 = 550, ∠BCA = 620 the altitude BE produced meets the circle at D, determine ∠ACD, ∠DAC and ∠ADB

Ans.

350, 280, 620

Question. Two circles interest each other at points A and B. AP and AQ are diameters of the two circles respectively. If ∠ APB = 400 and ∠AQB = 700, find ∠PAB and ∠QAB

Ans.

500, 200

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

Some advantages of Free Assignments for Class 9 Mathematics Circle

1. 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
2. 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
3. You will be able to understand the type of questions which are expected in your Mathematics Circle class test
4. 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
5. NCERT Class 9 Mathematics Circle Workbooks will surely help you to make your concepts stronger and better than anyone else in your class.
6. 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 ?

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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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