NCERT Books Class 10 Maths Chapter 10 Free PDF Download (Sign-in Required)

Section 10: Circles

The NCERT book and our NCERT Solutions for Class 10 Maths Chapter 10 Circles have these principle features:

• The NCERT books are written by highly educated professionals and thus, can be trusted to form the basic knowledge among students.

• All exercise questions from the NCERT maths textbook for class 10 are answered in a simple manner in NCERT Solutions.

• The solutions establish a practice of tricky questions that will help you get a good grasp of the topics.

• The book contains an analysis of the updated CBSE Syllabus and the possible types of questions to be asked in the examination.

• The NCERT book contains important drawings that students can practice.

• The book helps you memorize important calculation methods and formulas.

Furthermore, Vedantu offers all classes and subjects videos and animations including NCERT Solutions, NCERT Exemplars, notes, textbooks, and videos for free.  Sign up at Vedantu today to  gain free access to the study resources.

Furthermore, there are other study materials of the CBSE Board that students can access in this section in order to understand the types of questions that are important from the exam point of view.

Introduction to Chapter

A circle's properties are described in Chapter 10 of Class 10 Maths. The chapter discusses tangents to a circle and their existence. During this course, students learn some complex concepts such as tangents, tangents to circular shapes, and the number of tangents from a point on a circle. There are many diagrams and geometrical calculations in this chapter, so it seems very interesting.

This NCERT book of Class 10 Maths Chapter 10 includes a number of tricky concept questions on circles that will help you clear up any confusion while you are studying. It is recommended that students study these solutions from the ones given by Vedantu to become familiar with alternatives to conventional approaches.

The Sub-topics covered in NCERT Class 10-Circles

• Circular Sets-A circle is a set of all points that are equally distant from one another. In a circle, all of the points are equidistant from the center, and from that point to the circle is the radius. Circles do not have other letters besides 'c'.

• A tangent line to a circle is a line that touches the circle at exactly one point, never entering the circle's interior. 

• Numerical Value for Tangents from a Point on a Circle

An entire chapter in two concentric circles is summarized as follows. 

• One of the chords of the larger circle, which touches the smaller circle, is broken at the point of contact.

• An end tangent and a diameter tangent drawn at the same time are parallel.

• At the point of contact to the circle's tangent, the perpendicular passes through the centre.

• The angle subtended by the line segment connecting the points of contact at the centre is supplementary to the angle subtended by the two tangents forming a circle.

• Rhombuses are parallelograms that circumscribe circles.

• Quadrilateral sides emphasizing supplementary angles at a circle's centre correspond to opposite sides of the quadrilateral.