Class 9 Exam > Class 9 Questions > suppose you are given a circle .given a const...
Start Learning for Free
suppose you are given a circle .given a construction to find its centre.
Verified Answer
suppose you are given a circle .given a construction to find its centr...
The below given steps will be followed to find the centre of the given circle.
Step1. Take the given circle.
Step2. Take any two different chords AB and CD of this circle and draw perpendicular bisectors of these chords.
Step3. Let these perpendicular bisectors meet at point O. Hence, O is the centre of the given circle.
This question is part of UPSC exam. View all Class 9 courses
Most Upvoted Answer
suppose you are given a circle .given a construction to find its centr...
Community Answer
suppose you are given a circle .given a construction to find its centr...
Finding the Center of a Circle
To find the center of a given circle, you can use a simple geometric construction involving chords. Here’s how to do it step-by-step:
Materials Needed
- Compass
- Ruler
- Pencil
Steps to Construct
- Draw a Chord:
- Using a ruler, draw a straight line segment that connects two points on the circumference of the circle. This line is called a chord.
- Find the Midpoint:
- Measure the length of the chord and find its midpoint. You can do this by measuring the distance from each endpoint to the midpoint or by folding the chord in half.
- Construct a Perpendicular Bisector:
- Place the compass point on one end of the chord and draw an arc above and below the chord. Without changing the compass width, repeat this from the other end of the chord. The arcs should intersect above and below the chord.
- Draw the Perpendicular Line:
- Using a ruler, draw a straight line through the points of intersection of the arcs. This line is the perpendicular bisector of the chord.
- Repeat with Another Chord:
- To ensure accuracy, repeat the above steps with a different chord. The point where the two perpendicular bisectors intersect is the center of the circle.
Conclusion
This method effectively uses basic geometric principles to locate the center of any circle. By constructing perpendicular bisectors of two different chords, you can confidently determine the circle's center.
To find the center of a given circle, you can use a simple geometric construction involving chords. Here’s how to do it step-by-step:
Materials Needed
- Compass
- Ruler
- Pencil
Steps to Construct
- Draw a Chord:
- Using a ruler, draw a straight line segment that connects two points on the circumference of the circle. This line is called a chord.
- Find the Midpoint:
- Measure the length of the chord and find its midpoint. You can do this by measuring the distance from each endpoint to the midpoint or by folding the chord in half.
- Construct a Perpendicular Bisector:
- Place the compass point on one end of the chord and draw an arc above and below the chord. Without changing the compass width, repeat this from the other end of the chord. The arcs should intersect above and below the chord.
- Draw the Perpendicular Line:
- Using a ruler, draw a straight line through the points of intersection of the arcs. This line is the perpendicular bisector of the chord.
- Repeat with Another Chord:
- To ensure accuracy, repeat the above steps with a different chord. The point where the two perpendicular bisectors intersect is the center of the circle.
Conclusion
This method effectively uses basic geometric principles to locate the center of any circle. By constructing perpendicular bisectors of two different chords, you can confidently determine the circle's center.
Attention Class 9 Students!
To make sure you are not studying endlessly, EduRev has designed Class 9 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 9.
|
|
Explore Courses for Class 9 exam
|
|
Similar Class 9 Doubts
Top Courses for Class 9View all
suppose you are given a circle .given a construction to find its centre. Related: Basic Concepts of a Circles - Chord - Circles, Class 9, Mathematics
Question Description
suppose you are given a circle .given a construction to find its centre. Related: Basic Concepts of a Circles - Chord - Circles, Class 9, Mathematics for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about suppose you are given a circle .given a construction to find its centre. Related: Basic Concepts of a Circles - Chord - Circles, Class 9, Mathematics covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for suppose you are given a circle .given a construction to find its centre. Related: Basic Concepts of a Circles - Chord - Circles, Class 9, Mathematics.
suppose you are given a circle .given a construction to find its centre. Related: Basic Concepts of a Circles - Chord - Circles, Class 9, Mathematics for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about suppose you are given a circle .given a construction to find its centre. Related: Basic Concepts of a Circles - Chord - Circles, Class 9, Mathematics covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for suppose you are given a circle .given a construction to find its centre. Related: Basic Concepts of a Circles - Chord - Circles, Class 9, Mathematics.
Solutions for suppose you are given a circle .given a construction to find its centre. Related: Basic Concepts of a Circles - Chord - Circles, Class 9, Mathematics in English & in Hindi are available as part of our courses for Class 9.
Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
Here you can find the meaning of suppose you are given a circle .given a construction to find its centre. Related: Basic Concepts of a Circles - Chord - Circles, Class 9, Mathematics defined & explained in the simplest way possible. Besides giving the explanation of
suppose you are given a circle .given a construction to find its centre. Related: Basic Concepts of a Circles - Chord - Circles, Class 9, Mathematics, a detailed solution for suppose you are given a circle .given a construction to find its centre. Related: Basic Concepts of a Circles - Chord - Circles, Class 9, Mathematics has been provided alongside types of suppose you are given a circle .given a construction to find its centre. Related: Basic Concepts of a Circles - Chord - Circles, Class 9, Mathematics theory, EduRev gives you an
ample number of questions to practice suppose you are given a circle .given a construction to find its centre. Related: Basic Concepts of a Circles - Chord - Circles, Class 9, Mathematics tests, examples and also practice Class 9 tests.
|
|
Explore Courses for Class 9 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup