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# RD Sharma Class 9 Solutions Chapter 16 - Circles (Ex 16.3) Exercise 16.3

Last updated date: 21st May 2024
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## RD Sharma Class 9 Solutions Chapter 16 - Circles (Ex 16.3) Exercise 16.3 - Free PDF

Free PDF download of RD Sharma Class 9 Solutions Chapter 16 - Circles Exercise 16.3 solved by Expert Mathematics Teachers on Vedantu.com. All Chapter 16 - Circles Ex 16.3 Questions with Solutions for RD Sharma Class 9 Maths to help you to revise the complete Syllabus and Score More marks. Vedantu is a platform that provides free CBSE Solutions (NCERT) and other study materials for students.

Textbooks of RD Sharma for Maths for Class 9 Chapter-15 Circles comprise questions with answers and detailed explanations. This helps in clearing any possible doubts about any questions students may have and also improves students' skills while preparing for boards and coming competitive examinations.

The detailed, step-by-step answers will help you understand the core of the chapter and also strengthen your basics. Further, Vedantu has prepared the best solution guide for the questions in RD Sharma to help students prepare to the best of their abilities. RD Sharma textbooks can help a student in their self-study and act as ideal guidance but when supplemented with Vedantu’s solutions PDF. These solutions help students understand how to approach questions in the right way with tips and tricks to take less time but still reach the right answer.

Topics covered in Mathematics for Class 9 chapter 15 Circles are; Angle Subtended by a Chord at a Point, Vertical from the central to a Chord, Equal Chords and its length from the centre, Angle Subtended by an Arc of a Circle, Concept of Circle-Centre, Radius, Diameter, Arc, Sector, Chord, Segment, Semicircle, Circumference, Interior and Exterior, Concentric Circles, Cyclic Quadrilateral, Circles reaching Through One, Two, Three junctures.

Referring to RD Sharma, Class 9 answers Circles exercise is a simple way to prep for the examinations, as they involve answers chapter-wise also and page wise. This helps dispel any confusion the student might face while referring to this material. The questions from RD Sharma are significant as they can even appear in the final examination. Maximum students of CBSE Class 9 recommend their peers to consult RD Sharma Textbook and also Vedantu solutions to perform well in the examination.

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Competitive Exams after 12th Science

## Circle - Introduction

Many objects that we encounter in our life are‘ round in shape, sort of a coin, bangles, the Sun, wheels etc. In non-professional terms, the form is typically mentioned as a circle. A closed two-dimensional figure, which is created by the set of all those points which are equidistant from a set point within the same plane, is understood as a circle.

The collection of all the points during a plane, which are at a tough and fast length from a hard and fast point within the plane, is called a circle. In different terms, a circle is described as the locus of a degree of occupancy in a plane, in such a way that its length from a hard and rapid juncture is consistently constant. A closed two-dimensional figure, which is created by the set of all those junctures which are equidistant from a set point within the same plane, is comprehended as a circle.

## FAQs on RD Sharma Class 9 Solutions Chapter 16 - Circles (Ex 16.3) Exercise 16.3

1. What are the important Terms in Chapter 16- Circles Class 9?

Important terms are as follows:

• Circumference- The distance around the Circle is known as Circumference.

• Radius- The fixed point in the middle centre of the circle is known as radius.

• Interior and Exterior of a Circle: The set of points whose distance from the centre is less than the radius is defined as a circle's interior. The set of points in the plane whose distance from the centre is greater than the radius is defined as a Circle's exterior.

• Chord- A fragment that joins two points on the circumference of the circle is defined as the chord of the circle. Among the opposite line segments that may be drawn in a circle, the chord is one whose endpoints lie on the circumference. Diameter is also contemplated to be a chord that passes through the centre of the circle.

• Cyclic Quadrilateral- all four vertices lying on a circle are called a cyclic quadrilateral.

2. What are some important formulas that you should learn in RD Sharma Chapter 16 - circle?

Some Important formulas are:

• Circumference of a Circle  = 2πr

• The radius of a Circle= $\mathrm{\frac{Diameter}{2}}$

• Diameter = 2 × radius

• Track Area= π × (Outer Radius – Inner Radius)

• Length of Chord = 2 × √(radius2 − distance2)

• Area of sector = $\mathrm{\frac{\Theta }{360}\times \pi r^{2}}$

3. What is the marks distribution in Class 9 Chapter 16 Circles?

• 1 question from Multiple Choice Questions of 1 mark.

OR

1 question from Fill in the blanks and Very Short Answer of 1 mark

• 1 long short answer of 3 marks

4. What are the subtopics in Chapter 16 - circle of RD Sharma Class 9?

The theories enclosed under RD Sharma for Class 9 Maths Chapter 16 are as follows:

• Circle Introduction

• Position of a point concerning a circle

• Circular Disc

• Concentric Circles

• The degree measure of an arc

• Chord and segment of a circle

• Congruence of circles and arcs

5. Does RD Sharma Class - 9 follow the CBSE syllabus?

RD Sharma textbooks of all classes strictly follow CBSE guidelines. RD Sharma is preferred by the students of all boards because of carefully framed questions and the ability to make Math simple to varied students.