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Chapter 10 Circles of Unit IV Geometry, NCERT Grade 9 depicts other related terms and properties of circle. The solutions provided for different exercises in this chapter will provide the learner a further overview of Circles. The simple and comprehensible solutions will help the learners to understand the theoretical and practical aspects of topics such as Circles and its Related Terms: A Review. Under this topic, the learners will study various new terms related to circle such as radius, diameter, chord, interior and exterior regions in a circle.
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The step by step explanations of different topics such as Angle Subtended by a Chord at a Point will further help the students to understand some more interesting facts about circles with the help of theorems. The solutions provided for this topic will help the learners to understand fast about this topic. Similarly, as one proceeds further through Chapter 10 Circles, important topics such as Perpendicular from the Centre to a Chord and Circle through Three Points will be taught. These topics have been taught with the help of theorems accompanied with explanatory figures and solved examples. The solutions given for the questions asked for this topic will make the learner understand more about concept.
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Moving ahead, topics such as Equal Chords and their Distances from the Centre, Angle Subtended by an Arc of a Circle, Cyclic Quadrilaterals will be learnt. The explanatory theorems and guided solutions provided for these topics will help the students to learn about the different facts and theorems related to circles such as the sum of either pair of opposite angles of a cyclic quadrilateral is 180 degrees.The solutions provided for the topics for the in between exercises will help the students to understand and correlate in a better way. The summary given here acts as a guide and helps the learners to understand the concept of the complete chapter. This chapter is a part of Unit IV Geometry and holds a weightage of 28 marks in the final examination of Grade 9 according to the latest pattern.
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Get 100 percent accurate NCERT Solutions for Class 9 Maths Chapter 10 (Circles) solved by expert Maths teachers. We provide step by step solutions for questions given in class 9 maths text-book as per CBSE Board guidelines from the latest NCERT book for class 9 maths. The topics and sub-topics in Chapter 10 Circles are given below.
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Ex 10.1 - Introduction
Ex 10.2 - Circles and Its Related Terms: A Review
Ex 10.3 - Angle Subtended by a Chord at a Point
Ex 10.4 - Perpendicular from the Centre to a Chord
Ex 10.5 - Circle through Three Points
Ex 10.6 - Equal Chords and Their Distances from the Centre
Ex 10.7 - Angle Subtended by an Arc of a Circle
Ex 10.8 - Cyclic Quadrilaterals
Ex 10.9 - Summary
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We cover all exercises in the chapter given below:-
EXERCISE 10.1 - 2 Questions with Solutions in PDF
EXERCISE 10.2 - 2 Questions with Solutions in PDF
EXERCISE 10.3 - 3 Questions with Solutions in PDF
EXERCISE 10.4 - 6 Questions with Solutions in PDF
EXERCISE 10.5 - 12 Questions with Solutions in PDF
EXERCISE 10.6 - 10 Questions with Solutions in PDF
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Other than given exercises, you should also practice all the solved examples given in the book to clear your concepts on Circles. You can also download the free PDF of Chapter 10 CirclesÂ and take the print out to keep it handy for your exam preparation.