Circles Class 10 Notes: Chapter 10

Circles class 10 notes i.e. for chapter 10 provided here are an extremely important resource for the students studying in CBSE class 10. Students can use this revision notes for Circles for class 10 to understand the topics covered in this chapter and revise the concepts quickly. In this chapter 10 notes, the following topics are covered-

  • Definition of a circle
  • What is a tangent
  • Theorems related to tangents

Circles for Class 10

Circles for Class 10 includes NCERT questions based on circles and its theorems. It starts with the definition of Circle, tangent to the circle and its properties.

A circle is a closed shape with a set of points in a plane which are at a specific distance from the center. This specific distance is known to be the radius of a circle. It is important to learn all the details about a circle along with some important points associated with it like locus, a circumference of a circle, area, etc. which are explained in the above-linked article – Circle.

Circles for Class 10

Tangent of a Circle

A tangent is defined as a line that intersects the circle at only one point. For any point on the circumference of a circle, there exists one and only one tangent to a circle at that point.

Tangent of a Circle Theorem

Amongst all the Circles class 10 theorems, there is two tangent of a circle theorem which are:

  • The tangent at any point of a circle is perpendicular to the radius through the point of contact.
  • The lengths of tangents drawn from an external point to a circle are equal.

Let’s learn about these two theorems with proofs.

Theorem 1: The tangent at any point of a circle is perpendicular to the radius through the point of contact. The prove of this theorem is also given below.

Circles For Class 10

Theorem 2: The lengths of tangents drawn from an external point to a circle are equal. Below given is the proof of theorem 2.

Circles For Class 10

Problem on Circles with Solution

Circles For Class 10

Questions on Circles Class 10

Practice these questions on Circle for a better understanding of this topic.

  1. The tangents drawn at the ends of a diameter of a circle are parallel. Prove.
  2. Find the radius of a circle if the length of a tangent from a point X at a distance 5 cm from the centre of the circle is 4 cm.
  3. Prove that a parallelogram circumscribing a circle is always a rhombus.

Access CBSE Class 10 Maths Sample Papers Here.

Access NCERT Class 10 Maths Book Here.

Related Concepts

Keep visiting BYJU’S to get more such notes and study materials for class 10 exam.


Practise This Question

For the equation x2+bx+c=0 to have real roots, the condition is