# NCERT Solutions for Class 9 Maths Chapter 10 Circles in Hindi

NCERT Solutions for Class 9 Maths Chapter 10 in Hindi is one of the most fundamental geometric forms and is created by tracing a point on a plane that is equally distant from another point known as the circle’s centre. The perimeter of the circle is the name given to this line. The radius of a circle is the distance along which a line passing through its centre meets any point on its circumference. The term “area of a circle” refers to the space bounded by the circle’s arc. Circles’ symmetrical characteristics are important for Class 9 and Class 10 geometry studies. Thus, it is essential for students to develop a thorough comprehension of these NCERT Solutions for Class 9 Maths Chapter 10 in Hindi.

Through real-world examples and problem sets, NCERT Solutions for Class 9 Maths Chapter 10 in Hindi effectively spreads knowledge about circles and their characteristics.

Numerous other complex subjects are studied using the concepts from the NCERT Solutions for Class 9 Maths Chapter 10 in Hindi as a starting point. Students will learn about words connected to circles such as radius, circumference, diameter, chord, arc, secant, sector, segment, subtended angle, etc. by thoroughly practising all the questions contained in these NCERT Solutions for Class 9 Maths Chapter 10 in Hindi.

The students’ ability to apply their knowledge in practical settings will also be facilitated by learning the fundamentals of this chapter through NCERT Solutions for Class 9 Maths Chapter 10 in Hindi. Students can download the PDF files of the NCERT Solutions for Class 9 Maths Chapter 10 in Hindi from the Extramarks website or mobile application to study these NCERT Solutions for Class 9 Maths Chapter 10 in Hindi.

Besides the NCERT Solutions for Class 9 Maths Chapter 10 in Hindi, students can also access the NCERT Solutions for other exercises present in the NCERT Solutions for Class 9 Maths Chapter 10 in Hindi. A detailed list of all the exercise’s NCERT Solutions available on Extramarks is given below:

• Class 9 Mathematics Chapter 10 Ex 10.1 – 2 Questions
• Class 9 Mathematics Chapter 10 Ex 10.2 – 2 Questions
• Class 9 Mathematics Chapter 10 Ex 10.3 – 3 Questions
• Class 9 Mathematics Chapter 10 Ex 10.4 – 6 Questions
• Class 9 Mathematics Chapter 10 Ex 10.5 – 12 Questions
• Class 9 Mathematics Chapter 10 Ex 10.6 – 10 Questions (Optional)

Experts created the NCERT Solutions for Class 9 Maths Chapter 10 in Hindi in order to foster students’ critical thinking. The exercises’ questions are skilfully written to convey a mastery of all facets of circles.

A significant chapter in Class 9 Mathematics, the Circle, accounts for about 15 marks in the final exams. As a result, each topic covered in the NCERT Solutions for Class 9 Maths Chapter 10 in Hindi of this chapter should be well understood by students. The NCERT Solutions for Class 9 Maths Chapter 10 in Hindi were created by subject-matter experts at Extramarks to aid examinees in getting ready for the final test. These NCERT Solutions for Class 9 Maths Chapter 10 in Hindi are a great technique to help students learn because they are organized in accordance with the CBSE norms and the NCERT syllabus.

The introductory section to circles, associated words, the angle subtended by a chord at a point, equal chords and their lengths from the centre, the angle subtended by an arc of a circle, and cyclic quadrilaterals are the primary subjects addressed in NCERT Solutions for Class 9 Maths Chapter 10 in Hindi.

There are 35 questions in Chapter 10 of Class 9 Mathematics, of which 33 require long answers and 2 require short ones, all of which are duly addressed in the NCERT Solutions for Class 9 Maths Chapter 10 in Hindi. The 12 theorems that students need to have a better knowledge of are the basis for these questions, which they can absolutely attain with the help of these NCERT Solutions for Class 9 Maths Chapter 10 in Hindi. The majority of the questions include calculating chord lengths and angle degrees, as well as proving claims.

The greatest method to succeed in arithmetic is to memorize formulas and to practise key ideas often. For students to fully understand each idea, NCERT Solutions for Class 9 Maths Chapter 10 in Hindi includes all the relevant formulas and explanations with examples. Below are a few key formulas mentioned in these NCERT Solutions for Class 9 Maths Chapter 10 in Hindi:

• The circumference of a circle is the distance encircling it.
• A = r2, where r is the radius and r has a value of 3.14, is the formula used to compute the area of a circle.
• A circle’s radius is equal to half of its diameter, or d = 2r.
• Three non-collinear points are traversed by one and only one circle.
• A circle’s centre can be used to draw perpendiculars that can cut each other in half.
• A circle’s equal chords are spaced equally apart from the centre.
• Angles within a single circle segment are equal.
• A cyclic quadrilateral’s opposite angle pairs can be added to equal 180 degrees.
• A quadrilateral is cyclic if the sum of two of its opposite angles is 180 degrees.

The NCERT Solutions for Class 9 Maths Chapter 10 in Hindi begins with a brief explanation of circles and their function in daily life. To demonstrate the significance of circles, common examples like the clock and coin have been given along with drawings. After the definition is complete in the NCERT Solutions for Class 9 Maths Chapter 10 in Hindi, the procedures for using a compass to make a circle are given. The circle’s circumference, exterior, interior, and parts have all been marked with various markers. The NCERT Solutions for Class 9 Maths Chapter 10 in Hindi has provided an explanation of how two circles’ congruence and their cords. The NCERT Solutions for Class 9 Maths Chapter 10 in Hindi discusses the necessity of circles, how to calculate a circle’s diameter, and how to depict a circle from various angles.

• Three locations that are not collinear are traversed by a circle.
• A circle is formed by all the points in a plane that are spaced uniformly apart from one another.
• The chapter also emphasizes that all diameters have the same length and that the diameter is the longest chord.
• A segment is a section between a chord or an arc. There are two sorts of segments: minor segments and major segments.
• The angle that a chord at its centre subtends is the same angle that the minor arc at its centre subtends.
• The chapter concludes by explaining that the centres of congruent circles are equally spaced apart from their equal chords.
• A right angle is created when the circle’s diameter is placed in relation to its circumference.

## NCERT Solutions for Class 9 Maths Chapter 10 Circles in Hindi PDF Download

In their daily lives, people come across a lot of circular things.

Students will learn about circles, vocabulary linked to them, and some characteristics of a circle in these NCERT Solutions for Class 9 Maths Chapter 10 in Hindi. Some of these terminologies in the NCERT Solutions for Class 9 Maths Chapter 10 in Hindi have been discussed below:

• A circle is made up of all points in a plane that are equally spaced out from a fixed point in the plane.
• We will examine concepts like the centre of the circle, radius, diameter, arcs and its two types, major arc and minor arc, semicircle, segments and its two types, major segment and minor segment, in this chapter.
• Angle Contended by a Chord at a Point is discussed in the following section. In this part, two theorems—the first being that equal chords of a circle subtend equal angles at the centre and the second—are examined.

Theorems stating that a chord is bisected by a line drawn perpendicular to it and vice versa are then stated.

Next, what a Circumference is, is discussed in the NCERT Solutions for Class 9 Maths Chapter 10 in Hindi. Based on which a circle can be drawn using the three provided non-collinear points. The circumcenter and circumradius are the respective centres and radii.

The subjects’ equal chords of a circle are equally spaced from the centre and the opposite is covered in the following section.

Angle Subtended by an Arc of a Circle, which discusses three theorems, follows this subject.

• The angle that an arc occupies at the centre is twice as large as the angle it occupies anywhere else on the circle.
• Angles on the same circle segment are equal to one another.
• A circle is formed when two locations connected by a line segment subtend equal angles at two additional points located on the same side of the line as the line containing the line segment (i.e., they are concyclic.)

Another extremely important topic from this chapter addressed in the NCERT Solutions for Class 9 Maths Chapter 10 in Hindi is the Cyclic Quadrilateral:

• If all of a quadrilateral’s vertices are located on a circle, the quadrilateral is said to be cyclic.
• A cyclic quadrilateral’s opposite angle pairs can be added to equal 180 degrees.
• A quadrilateral is cyclic if the product of two opposed angles is 180 degrees.

There are five exercises in this chapter, as well as one that is optional.

At the conclusion, a summary of the Circles chapter is given.

Students can find an extensively detailed solution for this chapter in the NCERT Solutions for Class 9 Maths Chapter 10 in Hindi.

The unit of Geometry includes the circle as a fundamental element. A circle splits the plane in which it resides into three sections: the circle itself, its interior, and its exterior. Students will discover theorem proofs and difficulties based on those theorems in the NCERT Solutions for Class 9 Maths Chapter 10 in Hindi for this specific chapter. The NCERT Solutions for Class 9 Maths Chapter 10 in Hindi are made so that a student can receive all of the possible marks for a given question.

Students will learn about some advanced versions of circles in the future class’s NCERT syllabus; however, the advanced component can only be completed once they have completed the fundamentals. Therefore, the NCERT Solutions for Class 9 Maths Chapter 10 in Hindi serve as a basis for the upcoming class board exams.

A circle is a rounded shape that is created by joining together a number of points that are all equally distant from a central point. These NCERT Solutions for Class 9 Maths Chapter 10 in Hindi can be related to students’ daily experiences. Numerous items that individuals encounter on a daily basis have a circular shape, including rings, bangles, car wheels, clocks, etc. All of the questions in the book involving circular forms can be solved with the aid of the NCERT Solutions for Class 9 Maths Chapter 10 in Hindi.

The NCERT Solutions for Class 9 Maths Chapter 10 in Hindi will help students lay a solid foundation. Students can access NCERT Solutions for various chapters, classes, and subjects by visiting the Extramarks website and learning application.

### Access NCERT Solutions Class 9 for Maths Chapter 10 – वृत्त

NCERT Solutions for Class 9 Maths Chapter 10 in Hindi are covered by Extramarks. First off, Class 9 Mathematics is unquestionably a challenging subject for students. This barrier is removed from this chapter by the NCERT Solutions for Class 9 Maths Chapter 10 in Hindi. It explains Mathematical ideas in an easy-to-understand way. As a result, these solutions fully dispel the examinees’ fear of Mathematics. For Mathematics students, NCERT Solutions for Class 9 Maths Chapter 10 in Hindi is unquestionably a priceless opportunity.

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In this chapter, students will discover the definitions of terms connected to circles as well as the characteristics of a circle. A circle is made up of several points on a plane that are all equally spaced apart from one fixed point. A circle is the location of all points that are equally far from a given point. The fixed distance is known as the radius, while the fixed point is known as the centre.

The plane is divided into three sections by a circle: the area inside the circle, the region on the circle, and the area outside the circle. Students will discover words connected to circles in this chapter, including the major and minor arcs, the semicircle, chords, cyclic quadrilaterals, and segments, which come in two varieties: the major segment and the minor segment.

Here are some major points students should keep in mind before proceeding with the NCERT Solutions for Class 9 Maths Chapter 10 in Hindi:

• A circle is made up of all the points on a plane that are spaced a certain amount apart from a specific fixed point in the plane. The supplied constant distance is referred to as the radius of the circle, and the fixed point is known as the centre.
• Three non-collinear points are supplied, and only one circle passes across them all.
• According to the equations OP r, OP = r, or OP > r, a point P is either inside, on, or outside the circle c(O,r).
• A circular disc with a centre at O and a radius at r is the collection of all points that lie inside and on the circle C(O,r).
• Concentric circles are those with the same centre but different radii.
• An arc of the circle is a continuous segment of a circle.
• An arc’s length is equal to the length of the thin thread that just about completely encases it.

Extramarks’ NCERT Solutions for Class 9 Chapter 10 in Hindi explains the concepts in simple terms. Students can answer the NCERT Solutions for Class 9 Maths Chapter 10 in Hindi at Extramarks to improve their test performance. Additionally, students can assess their performance by taking the CBSE Class 9 Circles Chapter-wise Mock Test. These are a few of the many advantages of using the NCERT Solutions for Class 9 Maths Chapter 10 in Hindi.

Students will comprehend the chapter Circle quite thoroughly after reading the Extramarks NCERT Solutions for Class 9 Maths Chapter 10 in Hindi. Any student in Class 9 should be able to grasp the NCERT Solutions for Class 9 Maths Chapter 10 in Hindi because they have been discussed in great detail and step-by-step.

Students will discover the definitions of terms connected to circles as well as the characteristics of a circle in these NCERT Solutions for Class 9 Maths Chapter 10 in Hindi. The terms for the centre of a circle, radius, diameter, arcs and their two types, major and minor arcs, semicircles, chords, cyclic quadrilaterals, segments and their two types, major segment and minor segment, among others, will also be taught to the students through these NCERT Solutions for Class 9 Maths Chapter 10 in Hindi.

The topics addressed in the NCERT Solutions for Class 9 Maths Chapter 10 in Hindi:

• 10.1: Circles and its Related Terms
• 10.2: Angle Subtended by a Chord at a Point
• 10.3: Perpendicular from the Centre to a Chord
• 10.4: Circle Through Three Points
• 10.5: Equal Chords and Their Distances from the Centre
• 10.6: Angle Subtended by an Arc of a Circle

### NCERT Solutions for Class 9 Maths Chapter 10 Circles in Hindi

Regarding the NCERT textbook and CBSE curriculum, solutions for Circles are provided in NCERT Solutions for Class 9 Maths Chapter 10 in Hindi. To assist students in performing well on their final exam, Extramarks’ topic experts have offered the following NCERT Solutions for Class 9 Maths Chapter 10 in Hindi. For better preparation and revision, there are also a few questions provided in the NCERT Solutions for Class 9 Maths Chapter 10 in Hindi.

Questions based on the ideas of circumscribed and inscribed will be included in the NCERT Solutions for Class 9 Maths Chapter 10 in Hindi. To flourish in this subject, students are advised to practice all of the crucial problems in the NCERT Solutions for Class 9 Maths Chapter 10 in Hindi by Extramarks. These crucial problems from the NCERT Solutions for Class 9 Maths Chapter 10 in Hindi serve as the foundation for the final exam and give students greater confidence as they approach their tests.

A circle is a two-dimensional shape that is made up of all the points on a plane that are equally spaced apart from one fixed point. The radius of a circle is the predetermined distance from the centre. The circle’s radius is doubled by its diameter. The geometric shape with the highest ratio of area to perimeter is a circle. Students can determine the distance by measuring the circle’s area and perimeter. In real life, people encounter a lot of rounded shapes. In the real world, circles can be found in both the natural world and human-made constructions.

The use of a circle extends from a pen’s tip to the form of planets. Some examples of circles in everyday objects include cameras, pizzas, ferris wheels, rings, steering wheels, cakes, pies, buttons, etc.

The radius, diameter, circumference, and area of a circle are only a few of the many characteristics that have practical applications. If the circle’s radius is known, it is possible to determine all other characteristics. In reality, people compare the radius of a circle to compare the sizes of two circular objects. Humans wouldn’t have evolved if Geometry didn’t exist, because the circle is a component of Geometry. In reality, circles exist all around, but even when they are right in front of them, humans fail to realize it.

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To ensure that they perform well on exams, students must practice the material effectively and frequently. Students can complete the practice problems for circles on Extramarks with the help of the NCERT Solutions for Class 9 Maths Chapter 10 in Hindi. The answers to these NCERT Solutions for Class 9 Maths Chapter 10 in Hindi will help students score high grades.

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A circle is made up of all points in a plane that are spaced out from its centre by a predetermined amount (called a radius). Students in the 9th grade are already familiar with the basic ideas behind circles, such as the chord, segment, sector, and arc, which can be accessed and studied in detail in the NCERT Solutions for Class 9 Maths Chapter 10 in Hindi.