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Circles EXERCISE 9.2 Solutions
- Q1: Two circles of radii 5 cm and 3 cm intersect at two points and the distance between their centres is 4 cm. Find the length of the common chord.
- Q2: If two equal chords of a circle intersect within the circle, prove that the segments of one chord are equal to corresponding segments of the other chord.
- Q3: If two equal chords of a circle intersect within the circle, prove that the line joining the point of intersection to the centre makes equal angles with the chords.
- Q4: If a line intersects two concentric circles (circles with the same centre) with centre $O$ at $A$, $B$, $C$ and $D$, prove that $AB = CD$ (see Fig. 9.12).
- Q5: Three girls Reshma, Salma and Mandip are playing a game by standing on a circle of radius 5m drawn in a park. Reshma throws a ball to Salma, Salma to Mandip, Mandip to Reshma. If the distance between Reshma and Salma and between Salma and Mandip is 6m each, what is the distance between Reshma and Mandip?
- Q6: A circular park of radius 20m is situated in a colony. Three boys Ankur, Syed and David are sitting at equal distance on its boundary each having a toy telephone in his hands to talk each other. Find the length of the string of each phone.
Other Exercises for CBSE - Class 9 Mathematics Circles
Chapters in CBSE - Class 9 Mathematics
Top Tutors who teach Circles
Top Tutor 
Little Mount Saidapet, Chennai 
Less than a yr Exp 
4 students 
218 hrs of classes completed 
400 per hour CBSE Class 9 & 10 Math Expert | CEG & XLRI Alumnus | Multilingual Instruction About Me: High-quality mentorship matters most during the crucial transition of Classes 9 and 10. I am an engineer from College of Engineering, Guindy (1989) and a management alumnus from XLRI Jamshedpur (2004). What I Offer: Targeted CBSE Focus: Specialized coaching for 9th and 10th-grade Math to ensure top board exam results. Global Teaching Standards: Experienced in delivering high-impact math tutoring for students in North America (NAM) Multilingual Comfort: Instruction available in English, Tamil, Hindi, or Telugu to ensure zero communication barriers. I focus on building core conceptual foundations, rigorous practice, and exam-taking strategies. Let's work together to make Math your child's strongest subject!
Excellent and very helpful. It is very easy to understand the concepts and solve the problems quickly.
Super Tutor Sector 5, Dwarka, Delhi 10 yrs of Exp 36 students 1317 hrs of classes completed 500 per hour 
Online Classes I teach Math and Science to 8th-12th standard students and have been teaching for more than 10 years. Batch of 2 Students: I conduct these small batches with a pair of students of the same class and the education board (I cover all popular boards CBSE, ICSE, IGCSE etc.). Works for those students/parents who are looking for individual attention for their kids but still want it to be a little affordable. *3 classes per week (So 12 a month) *Maths and Science (Also English Grammar and Literature) *Fee Rs. 4500/- per month/12 classes. Batch of 6 Students: I conduct these small batches with 5-6 students of the same class and the education board (I cover all popular boards CBSE, ICSE, IGCSE etc.). *4 classes per week (So 16 a month) *Maths and Science *Fee Rs. 4000/- per month/16 classes. I will start the classes immediately once the first kid enrolls. ------------------------------------------------------------------------------- Individual/Private/One-to-One classes: I conduct these one to one classes for those students willing to have one to one setup (I cover all popular boards CBSE, ICSE, IGCSE etc.). *3 classes per week (So 12 a month) *Maths and Science (Also English Grammar and Literature) *Fee Rs. 7000/- per month/12 classes. ------------------------------------------------------------------------------- I took classes and batches in different institutions.
The teacher is very good. He understands the students strength and weakness and decides the pace of learning. He also tries to make the student comfortable and at ease with his/her capacity and then works on the child. It is not just Math he works on but the child's confidence and comfort with the subject. Highly recommended.
Top Tutor Gopal Nagar, Bareilly 10 yrs of Exp 18 students 2154 hrs of classes completed 400 per hour Online Classes I am an experienced, qualified teacher and tutor with over 10 years of experience in teaching Maths, English and Science upto class 10th, across different boards including CBSE, ICSE, IGCSE and State Board. Passionate about solving mathematical problems and chemical equations, over the years I have helped thousands of students overcome their fear of Maths and Chemistry. So far, I have worked as a Teacher with many elite schools., my journey is driven by a deep love for education. Utilizing virtual platforms, I create an engaging learning environment, nurturing curiosity and critical thinking.
Sir is an exceptional teacher. His unique and simple teaching method makes complex concepts incredibly easy to understand. He provides personalized attention, clears doubts patiently,
Top Tutor HRBR Layout, Bangalore 20 yrs of Exp Online Classes 30 years experience
Top Tutor Suchitra Rd, Rangareddy 2 yrs of Exp 2 students 2862 hrs of classes completed 500 per hour Online Classes I have over five years of experience as a math teacher. My journey towards teaching started when I was pursuing my B—tech degree. I began teaching math at Nagarjuna Group of Schools in Hyderabad. I thoroughly enjoyed my time there; giving me a solid foundation for my career. After gaining significant experience in teaching, I took my expertise online and started providing online classes full-time on UrbanPro. During my college years, I was inspired by my professors and their dedication to serving knowledge to students. This sparked my passion for following a similar path and contributing to education. My classes are designed for Class first to fifth students and cater to sixth to twelfth-standard students studying in CBSE and ICSE boards. I provide both online and offline courses at my home. My approach to teaching is simple yet effective. I ensure that my lesson plans are regularly revised and that students are given ample practice sessions to reinforce their learning. I use a whiteboard and other digital resources that make learning more interactive and engaging for my students. I always remember the syllabus and provide comprehensive notes and questionnaires for my students to help them prepare for exams. Additionally, I communicate effectively with my students, encouraging them to ask questions and clarify their doubts, and am always patient. Building a solid relationship with my students is crucial to their success, and I strive to create a positive learning environment that helps them learn and grow.
