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  • Last Modified 26-08-2022

NCERT Solutions for Class 9 Maths Chapter 10 Circles

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NCERT Solutions for Class 9 Maths Chapter 10 Circles: In this article, we have provided the detailed NCERT Solutions Chapter 10 of Class 9 prepared by Embibe’s academic experts. Students can download the Class 9 Maths Chapter 10 solutions in PDF format to study offline and they are helpful for solving the in-text exercises.

The solutions will help students to clear all their doubts regarding Class 9 Maths Chapter 10 and help them prepare for exams. Embibe offers a wide range of study materials, including PDFs of NCERT books, solution sets and previous year’s question papers. Students can also get free access to over 1850 questions from 61 different books on Embibe. Continue reading this article to get the NCERT solutions for Class 9 Maths Chapter 10.

NCERT Solutions for Class 9 Maths Chapter 10: Important Topics

In this chapter, students will learn about circles, their related terms, and the properties of a circle. A circle is a collection of points on a plane which are equidistant from a fixed point in the plane. A circle is the locus of points equidistant from a given point. The fixed point is called the centre, while the fixed distance is called the radius.

A circle divides the plane into three parts: inside the circle, on the circle, and the area outside the circle. In this chapter, students will learn some terms related to circles like the centre of a circle, radius, diameter, arcs, and its types – major arc and minor arc, semicircle, chords, cyclic quadrilaterals, segments, and its two types – major segment and minor segment, etc.

Students can refer to the table below to check all the important topics covered in NCERT Class 9 Maths Chapter 10 Circles:

Exercise No.Important Topics
10.1Circles and its Related Terms
10.2Angle Subtended by a Chord at a Point
10.3Perpendicular from the Centre to a Chord
10.4Circle through Three Points
10.5Equal Chords and their Distances from the Centre
10.6Angle Subtended by an Arc of a Circle
10.7Cyclic Quadrilaterals

NCERT Solutions for Class 9 Maths Chapter 10: Points to Remember

We have provided some important points that are covered in NCERT Class 9 Maths Chapter 10 to help students in their exam preparations. Refer to the list below:

  • A circle is the collection of those points in a plane that are at a given constant distance from a given fixed point in the plane. The fixed point is called the centre and the given constant distance is called the radius of the circle.
  • There is one and only circle passing through three given non-collinear points.
  • A point P lies inside or on or outside the circle c (O,r) according to OP < r or OP = r or OP > r.
  • The collection of all points lying inside and on the circle c (O,r) is called a circular disc with centre O and radius r.
  • Circles having the same centre and different radii are said to be concentric circles.
  • A continuous piece of a circle is called an arc of the circle.
  • The length of an arc is the length of the fine thread which just covers it completely.

Students can get more important points for NCERT Class 9 Maths Chapter 10 Circles on Embibe for free!

NCERT Solutions for Class 9 Maths: All Chapters

Students can download the NCERT Solutions for Class 9 Maths from the following:

FAQs on CBSE Class 9 Maths Chapter 10

Q.1: What are the topics are covered in NCERT Class 9 Maths Chapter 10?

Ans: The topics involved in the NCERT Class 9 Maths Chapter 10 are as follows:
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
10.7: Cyclic Quadrilaterals

Q.2: What can I learn from NCERT Class 9 Maths Chapter 10?

Ans: In this chapter, students will learn about circles, their related terms, and the properties of a circle. Moreover, students will also learn some terms related to circles like the centre of a circle, radius, diameter, arcs, and its types – major arc and minor arc, semicircle, chords, cyclic quadrilaterals, segments, and its two types – major segment and minor segment, etc.

Q.3: What is the difference between a chord and a diameter?

Ans: A chord is described as a line segment drawn between any two points in a circle. However, a diameter is drawn at the middle of a circle. It cuts the circle into two halves.

Q.4: What are the benefits of using NCERT Solutions for Class 9 Maths Chapter 10?

Ans: The concepts are explained in simple language in the NCERT Solutions for Class 9 Chapter 10 by Embibe. To boost up their performance in the exam, students can solve free Class 9 Maths Circle questions at Embibe. Also, students can take the CBSE Class 9 Circles Chapter-wise mock test to test their performance. These are some of the benefits of using NCERT Solutions for Class 9 Maths Chapter 10.

Q.5: Are the NCERT Solutions for Class 9 Maths Chapter 10 easy to understand?

Ans: The NCERT Solutions by Embibe will help students understand the chapter Circle better. The NCERT Solutions for Class 9 Maths Chapter 10 have been explained in a step-by-step manner and detailed manner so that any class 9 student can understand NCERT Solutions for Class 9 Chapter 10.

Adaptive Practice with Solutions To Help You Ace Important Topics for 9th CBSE