# NCERT Solutions for Class 9 Maths Chapter 10 – Circles

NCERT Solutions for Class 9 Maths Chapter 10 Circles** **can serve as a reference to prepare the important topics of the chapter. NCERT Solutions Chapter 10 Circles is one of the most important chapters as per CBSE Class 10 exam perspective. It introduces you to various concepts such as angle subtended by a chord at a point, the angle subtended by an arc, cyclic quadrilaterals etc. There are 6 exercise sets with 36 questions to solve in this chapter.

Maths Class 9 Chapter 10 Circles NCERT Solutions** **include all questions of the chapter from beginner to advanced level. Practising these questions is essential if you want to score better marks in the board exams. NCERT Solutions will help you clear all your doubts in the chapter. We have prepared the solutions in adherence to the latest CBSE syllabus and exam pattern so you can fully rely on us. Given below is a short summary of Chapter 10 that will help you understand the concepts better.

## Topics Covered Under NCERT For Class 9 Maths Chapter 10

In CBSE Class 9 Maths NCERT Solutions for Class 9 Chapter 10 Circles, you will learn about circles, parts of circles, properties of a circle etc. Our NCERT solutions will give you a detailed explanation and will make it easy for you to solve the questions easily.

**Circle **

In a plane, when the set of all the points is at the same distance from the centre, then it forms a circle. It can also be called as a simple closed curve.

**Diameter Of A Circle**

When a chord is drawn and is made to pass through the centre of the circle, then it is called the diameter of the circle. This chord is the longest. Diameter is double of the radius.

**Arc **

When 2 points of the circles are joined, the portion of the circle between these 2 points is known as the arc. When an arc is drawn, the circle is divided into 2 pieces, the longer one is called the Major Arc and the shorter one is called the Minor Arc.

**Circumference**

When we go around the boundary of the circle, the distance covered is known as the circumference of the circle. It can also be known as the total length of the circle.

**Segment Of The Circle**

When an arc is made, the interior area which lies between a chord and an arc is known as the segment of the circle. There are 2 types of segments – Major segment and the Minor segment. The part of the circle which lies between a pair of radius and an arc is known as the sector. Just like segments, sectors are also of two types major and the minor.

**Semi Circular Region**

To obtain a semi-circular region, both the sector and the segment of a circle should be made the same, which would turn into a semi-circle and eventually semi-circular region would be obtained.

**Theorem 1**

Equal chords of the circle possess equal angles at the centre.

**Theorem 2**

2 chords would become equal when they make equal angles at the centre of the circle.

**Theorem 3**

To always bisect the chord, the perpendicular is to be made from the centre of a circle.

**Theorem 4**

To bisect the chord to its perpendicular, the line should be drawn through the centre of the circle

**Theorem 5**

For only 1 circle to pass through points, there should always be given 3 noncollinear points.

### Exercise Wise Discussion Of NCERT Chapter 10 Circles Class 9

- NCERT Class 9 Maths Chapter 10 has a total of 6 exercises that cover different topics.
- In Exercise 6.1, you will learn about the basics of circles.
- In Exercise 6.2, you will learn theorems with the knowledge of angles and chords.
- In Exercise 6.3, you will learn about the construction of the circles with the knowledge of perpendiculars.
- Along with new theorems in Exercise 6.4, you will know how to find the length of a chord or how to prove different theorems.
- Exercise 6.5 teaches you about different angles in the circle, about cyclic quadrilaterals, and cyclic parallelograms.
- Exercise 6.6 is optional, which constitutes of mixed questions.

### Benefits of NCERT Solutions Class 9 Chapter 10 Maths By Instasolv

Instasolv has professional subject matter experts who provide stepwise NCERT Solutions for Class 9 Maths. The answers are prepared in a comprehensive way on every topic. Thus, the solutions developed by us are a perfect source in removing all of your doubts associated with the chapter Circles. Our main aim is to make the entire chapter easy for you by providing you clear solutions along with proper reasoning. So without further delay, just refer to our NCERT Maths Solutions for Class 9 Chapter 9 and prepare the best for CBSE exam.