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Welcome to CBSE Class 9 Mathematics! The chapter on Circles is an incredibly important foundation for advanced geometry. In simple terms, a circle is a collection of all points in a two-dimensional plane that are at a constant distance from a fixed central point. From the wheels on a bicycle to coins and planetary orbits, this universal shape is everywhere. However, before diving into complex geometric proofs and theorems, it is absolutely essential to understand the specific vocabulary used to describe the different parts of a circle.
To master this chapter, you must be familiar with a few core definitions. The fixed point in the middle is called the center, and the fixed distance from the center to any point on the boundary is the radius. A line segment joining any two points on the circle's boundary is known as a chord. The longest chord, which passes directly through the center, is the diameter (which is exactly twice the length of the radius). A continuous piece of the circle's outer boundary is called an arc. Moving to the regions inside the circle, the area enclosed by an arc and two radii is called a sector (think of a slice of pizza), while the region bounded by an arc and a chord is known as a segment.
Take a close look at the diagram above, which visually separates these key definitions to make them easy to remember. On the left side, you can see how the center anchors the circle, with the green radius extending outward and the red dashed diameter cutting all the way across through the center. Notice how the purple chord connects two points but doesn't pass through the middle. On the right side, the diagram highlights regions: the yellow sector looks like a slice of pie formed by radii, while the teal segment is the area sliced off by a chord. The thick pink curve at the bottom emphasizes an arc. In your Class 9 exams, you will be frequently asked to identify these parts to prove congruence between triangles formed within circles or to calculate subtended angles. Visualizing these parts ensures you never confuse a sector with a segment during a test!
Are you finding geometry challenging? You are not alone! If you need step-by-step help mastering circle theorems, algebraic concepts, or any other Class 9 Mathematics topic, UrbanPro is here to help. You can easily find highly experienced, verified CBSE Class 9 Math tutors on the UrbanPro platform. Whether you prefer personalized online tuition from the comfort of your home or face-to-face local offline classes, UrbanPro connects you with top-rated educators who will strengthen your fundamentals and help you achieve top marks in your exams!
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Top Tutors who teach Definitions
Top Tutor 
Vasant Kunj, Delhi 
6 students 
205 hrs of classes completed 
1000 per hour 
Online Classes 
Student's Home 
Tutor's home I am a Mathematics teacher providing online classes since January 2021. My strength in the subject is derived from my Engineering background which was further honed through statistical subjects while doing my MBA from the Indian School of Business in Hyderabad. My accomplishments in mathematics include 97% in CBSE Mathematics board exams and a full score of 51 in the quant section of the GMAT exam.
Top Tutor MSR nagar mathikere, Bangalore 26 students 5607 hrs of classes completed 475 per hour Online Classes I enjoy teaching children and helping them understand the basics. I love to see them grow and become passionate towards their studies.
I attended a demo class with anjali mam, it was very easy to understand the concepts. I hope to study in her class in the future. Thank you mam.
Top Tutor Kurichimuttom, Kozhencherry 1 student 379 hrs of classes completed 350 per hour Online Classes Working as a Tution teacher for the last 8 years for all classes and taught almost 150+ students.
Super Tutor Sector 43, Gurgaon 9 students 1178 hrs of classes completed 400 per hour Online Classes Tutor's home I am a freelance tutor at present. I taught in a coaching centre Vidyanext for students of CBSE & ICSE of classes IX & X for two years. I have teaching children of classes IX & X since last ten years online and also at my home. My methodology of teaching is to clear the concepts of the children and then test them on these concepts every week. This has worked very well with dull students too.
Teacher Swati is a very dedicated and passionate teacher. We are very lucky that she is coaching my daughter for IB curriculum and taking personal interest on her growth and learning.
Top Tutor Nehru Nagar, Bangalore 42 students 1163 hrs of classes completed 167 per hour Online Classes I am Mopidevi Padmaja, an experienced Math Teacher, Quantitative Aptitude Coach, and Certified Vedic math trainer. I teach CBSE 9th and 10th Math, Quantitative Aptitude for Competitive exams (CAT, SSC, RRB, etc.) & Vedic Maths starting from grade 6 to graduation level students. -------------------------------------------------------------------------------------------------- I hold an Engineering degree & am an Associate Member of the Institution of Engineers (India) I am also a certified Vedic Math trainer -------------------------------------------------------------------------------------------------- I have over 10+ years of teaching experience both online & offline. I have taught over 1000+ students to date. I have been teaching online for the last 7 years for Indian and overseas students. I am familiar with various teaching platforms available online and comfortable using them. -------------------------------------------------------------------------------------------------- I have a passion for making Math the easiest, simple, and most fun subject for students. I work on various learning issues in Math, like Math phobia, focus problems, word problem understanding, concept understanding, confusion, time management in math exams, and silly mistakes which is a major problem for most students. I could help my students to score more than 90% marks in Maths subjects who were losing around 20 to 25 marks by confusion in concepts, silly mistakes, lack of time management in math exams, etc. I am successful in making Math an interesting and easy subject for my students who have hated Math. -------------------------------------------------------------------------------------------------- I thoroughly teach fundamentals, concepts, formulae, and guide with smart ways of doing calculations, smart ways of doing word problems, strategies for solving questions, etc. I use visual aids in teaching like 2D animated PowerPoint presentations. I make students comfortable and at ease and encourage them to ask their doubts during a session and even after sessions through messages. I respond to messages within a short time. If more students have doubts about a specific topic I even take a special session for them. I always try to improve my techniques of assessment by using a quiz, worksheets, test papers, Sample papers, etc., so that I can do 100 % assessment and take the necessary steps to improve my students. Every student is important to me. In each session, I teach according to the needs and understanding levels of my students. I work with students having various intellectual and behavioral capabilities. I learn to teach and teach to learn. My ultimate goal is to help the student to become an independent learner. I believe marks are not about grades and ranks but about building confidence levels in students. ---------------------------------------------------------------------------------------------- I continuously upgrade myself by attending workshops, and webinars, browsing the internet and reading lots of books. I use Digital Media for a lot of learning new developments in the field of my teaching. I attend webinars & seminars and interact with other teachers & professionals from across the world. -------------------------------------------------------------------------------
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FAQ
What is the meaning of Definitions?
It refers to a specific mathematical method or property in Circles used to solve problems involving Definitions.
Why is Definitions important for CBSE - Class 9 exams?
This concept is crucial for the exams as questions related to Circles and specifically Definitions are very common. It helps secure marks in the section effectively.
Is Definitions part of the latest NCERT syllabus?
Yes, Definitions is an integral part of the CBSE - Class 9 NCERT Mathematics syllabus. It is a key topic covered in the Circles chapter.
What are common mistakes students make with Definitions?
Students often miss the minute details or fundamental definitions of Definitions. Regular revision and practice are needed to master the nuances.
How should I approach learning Definitions?
Start by understanding the formulas and logic, then practice applying them to simple problems. Solve the examples given in the NCERT textbook before moving to exercise problems.
How can UrbanPro help me understand Definitions better?
UrbanPro connects you with experienced Mathematics tutors who can explain Definitions with simple examples. You also get access to doubt-clearing sessions and mock tests for better preparation.
