Answer sheets of meritorious students of class 12th’ 2012 M.P Board – All Subjects

February 14, 201339 Insightful Publications

**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.

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 |
---|---|

10.1 | 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 |

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!

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

**1st Chapter: Number Systems****2nd Chapter: Polynomials****3rd Chapter: Coordinate Geometry****4th Chapter: Linear Equations in Two Variables****5th Chapter: Introduction to Euclid’s Geometry****6th Chapter: Lines and Angles****7th Chapter: Triangles****8th Chapter: Quadrilaterals****9th Chapter: Areas of Parallelograms and Triangles****10th Chapter: Circles****11th Chapter: Constructions****12th Chapter: Heron’s Formula****13th Chapter: Surface Areas and Volumes****14th Chapter: Statistics****15th Chapter: Probability**

**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

**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.

**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.

**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.

**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.