Class 10 Exam > Class 10 Notes > Mathematics (Maths) Class 10 > Facts that Matter: Circles
Facts that Matter: Circles | Mathematics (Maths) Class 10 PDF Download
Tangent to a Circle
A tangent to a circle is a line that touches the circle at only one point.
NOTE:
I. There is only one tangent at a point of the circle.
II. The tangent to a circle is a special case of the secant, when the two end points of its corresponding chord coincide.
Theorem 1
The tangent at any point of a circle is perpendicular to the radius, through the point of contact.
Proof: We have the centre O of the given circle and XY is the tangent to the circle at a point P.
Let us take a point Q on XY other than P. Join OQ.
Obviously, Q lies outside the circle. i.e., OQ > OP
Since, all the points on XY, except P lies outside the circle.
i.e., OP is smaller than all the distance of the point O from XY.
i.e., OP is the smallest distance of O from XY.
i.e., OP ⊥ XY
The document Facts that Matter: Circles | Mathematics (Maths) Class 10 is a part of the Class 10 Course Mathematics (Maths) Class 10.
All you need of Class 10 at this link: Class 10
|
126 videos|457 docs|75 tests
|
FAQs on Facts that Matter: Circles - Mathematics (Maths) Class 10
| 1. What are the properties of a circle? |  |
Ans. A circle has several properties, including:
- It is a closed curve made up of all points equidistant from a fixed point called the center.
- The distance from the center to any point on the circle is called the radius.
- The diameter is a line segment that passes through the center and has both its endpoints on the circle.
- The circumference is the distance around the circle and is calculated using the formula 2πr, where r is the radius.
| 2. How is the area of a circle calculated? | |
Ans. The area of a circle is calculated using the formula A = πr^2, where A represents the area and r represents the radius. In this formula, π is a mathematical constant approximately equal to 3.14159. To find the area, square the radius and multiply it by π.
| 3. How does the circumference of a circle relate to its diameter? | |
Ans. The circumference of a circle is directly related to its diameter. The ratio of the circumference to the diameter is always constant and equal to π (pi). In other words, the circumference of any circle is approximately 3.14159 times its diameter. This relationship is expressed in the formula C = πd, where C represents the circumference and d represents the diameter.
| 4. Can a circle have a negative radius? | |
Ans. No, a circle cannot have a negative radius. The radius of a circle represents the distance from the center to any point on the circle. Since distance cannot be negative, the radius must always be positive or zero. Negative values do not have any physical meaning when it comes to circle geometry.
| 5. Are all squares also circles? | |
Ans. No, all squares are not circles. A square is a quadrilateral with four equal sides and four right angles. On the other hand, a circle is a closed curve with all points equidistant from a fixed center. The two shapes have different properties, and while a square can be considered a regular polygon, it does not meet the criteria of a circle.
About this Document
|
4.77/5 Rating |
|
Dec 23, 2024 Last updated |
Document Description: Facts that Matter: Circles for Class 10 2024 is part of Mathematics (Maths) Class 10 preparation.
The notes and questions for Facts that Matter: Circles have been prepared according to the Class 10 exam syllabus. Information about Facts that Matter: Circles covers topics
like and Facts that Matter: Circles Example, for Class 10 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Facts that Matter: Circles.
Introduction of Facts that Matter: Circles in English is available as part of our Mathematics (Maths) Class 10
for Class 10 & Facts that Matter: Circles in Hindi for Mathematics (Maths) Class 10 course.
Download more important topics related with notes, lectures and mock test series for Class 10
Exam by signing up for free. Class 10: Facts that Matter: Circles | Mathematics (Maths) Class 10
Description
Full syllabus notes, lecture & questions for Facts that Matter: Circles | Mathematics (Maths) Class 10 - Class 10 | Plus excerises question with solution to help you revise complete syllabus for Mathematics (Maths) Class 10 | Best notes, free PDF download
Information about Facts that Matter: Circles
In this doc you can find the meaning of Facts that Matter: Circles defined & explained in the simplest way possible. Besides explaining types of
Facts that Matter: Circles theory, EduRev gives you an ample number of questions to practice Facts that Matter: Circles tests, examples and also practice Class 10
tests
|
Explore Courses for Class 10 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
Related Searches
ppt
,shortcuts and tricks
,Previous Year Questions with Solutions
,Facts that Matter: Circles | Mathematics (Maths) Class 10
,Facts that Matter: Circles | Mathematics (Maths) Class 10
,Summary
,practice quizzes
,video lectures
,Objective type Questions
,study material
,past year papers
,Extra Questions
,Sample Paper
,mock tests for examination
,Semester Notes
,Exam
,Important questions
,Facts that Matter: Circles | Mathematics (Maths) Class 10
,Free
,MCQs
,Viva Questions
;
Additional Information about Facts that Matter: Circles for Class 10 Preparation
Facts that Matter: Circles Free PDF Download
The Facts that Matter: Circles is an invaluable resource that delves deep into the core of the Class 10 exam.
These study notes are curated by experts and cover all the essential topics and concepts, making your preparation more efficient and effective.
With the help of these notes, you can grasp complex subjects quickly, revise important points easily,
and reinforce your understanding of key concepts. The study notes are presented in a concise and easy-to-understand manner,
allowing you to optimize your learning process. Whether you're looking for best-recommended books, sample papers, study material,
or toppers' notes, this PDF has got you covered. Download the Facts that Matter: Circles now and kickstart your journey towards success in the Class 10 exam.
Importance of Facts that Matter: Circles
The importance of Facts that Matter: Circles cannot be overstated, especially for Class 10 aspirants.
This document holds the key to success in the Class 10 exam.
It offers a detailed understanding of the concept, providing invaluable insights into the topic.
By knowing the concepts well in advance, students can plan their preparation effectively.
Utilize this indispensable guide for a well-rounded preparation and achieve your desired results.
Facts that Matter: Circles Notes
Facts that Matter: Circles Notes offer in-depth insights into the specific topic to help you master it with ease.
This comprehensive document covers all aspects related to Facts that Matter: Circles.
It includes detailed information about the exam syllabus, recommended books, and study materials for a well-rounded preparation.
Practice papers and question papers enable you to assess your progress effectively.
Additionally, the paper analysis provides valuable tips for tackling the exam strategically.
Access to Toppers' notes gives you an edge in understanding complex concepts.
Whether you're a beginner or aiming for advanced proficiency, Facts that Matter: Circles Notes on EduRev are your ultimate resource for success.
Facts that Matter: Circles Class 10 Questions
The "Facts that Matter: Circles Class 10 Questions" guide is a valuable resource for all aspiring students preparing for the
Class 10 exam. It focuses on providing a wide range of practice questions to help students gauge
their understanding of the exam topics. These questions cover the entire syllabus, ensuring comprehensive preparation.
The guide includes previous years' question papers for students to familiarize themselves with the exam's format and difficulty level.
Additionally, it offers subject-specific question banks, allowing students to focus on weak areas and improve their performance.
Study Facts that Matter: Circles on the App
Students of Class 10 can study Facts that Matter: Circles alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Facts that Matter: Circles,
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of Facts that Matter: Circles is prepared as per the latest Class 10 syllabus.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup