Class 9 Exam > Class 9 Questions > Two radii of same circle are always :a)may in...
Start Learning for Free
Two radii of same circle are always :
- a)may inchired at any angle
- b)perpendicular
- c)parallel
- d)parallel and may inchired at any angle
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Two radii of same circle are always :a)may inchired at any angleb)perp...
Two Radiiand a chord make an isosceles triangJe. The perpendicular from the centre of a circle to a chord wiIJ always bisect the chord (spJit it into two equallengths). Angles formed from two points on the circumference are equal to other angIes, in the same arc, formed from those two points.paraIJeland mayinchired at any angle.
Free Test
FREE
| Start Free Test |
Community Answer
Two radii of same circle are always :a)may inchired at any angleb)perp...
Explanation:
Definition of Radii:
Radii (plural of radius) are the line segments that connect the center of a circle to any point on the circumference of the circle. In other words, radii are the line segments that start at the center and end at any point on the circle.
Properties of Radii:
1. Equal Length: All radii of the same circle have the same length. This is because all radii start at the center of the circle, which is equidistant from all points on the circumference.
2. Parallel: Radii are always parallel to each other. This is because they start at the center of the circle and extend outwards in straight lines. Since parallel lines never intersect, radii are always parallel.
3. Any Angle: Radii can be inclined at any angle. Since they start at the center and end at any point on the circumference, they can be drawn in any direction. This means that radii can be inclined at any angle, depending on the position of the point on the circumference.
4. Perpendicular: Radii are perpendicular to the tangent line at the point of contact. The tangent line is a line that touches the circle at only one point. The radius that connects the center of the circle to this point of contact is perpendicular to the tangent line.
Conclusion:
In conclusion, radii of the same circle are always parallel to each other but can be inclined at any angle. Additionally, radii are always perpendicular to the tangent line at the point of contact. These properties of radii are fundamental to understanding the geometry and properties of circles.
Definition of Radii:
Radii (plural of radius) are the line segments that connect the center of a circle to any point on the circumference of the circle. In other words, radii are the line segments that start at the center and end at any point on the circle.
Properties of Radii:
1. Equal Length: All radii of the same circle have the same length. This is because all radii start at the center of the circle, which is equidistant from all points on the circumference.
2. Parallel: Radii are always parallel to each other. This is because they start at the center of the circle and extend outwards in straight lines. Since parallel lines never intersect, radii are always parallel.
3. Any Angle: Radii can be inclined at any angle. Since they start at the center and end at any point on the circumference, they can be drawn in any direction. This means that radii can be inclined at any angle, depending on the position of the point on the circumference.
4. Perpendicular: Radii are perpendicular to the tangent line at the point of contact. The tangent line is a line that touches the circle at only one point. The radius that connects the center of the circle to this point of contact is perpendicular to the tangent line.
Conclusion:
In conclusion, radii of the same circle are always parallel to each other but can be inclined at any angle. Additionally, radii are always perpendicular to the tangent line at the point of contact. These properties of radii are fundamental to understanding the geometry and properties of circles.
|
Explore Courses for Class 9 exam
|
|
Top Courses for Class 9View all
Question Description
Two radii of same circle are always :a)may inchired at any angleb)perpendicularc)paralleld)parallel and may inchired at any angleCorrect answer is option 'D'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Two radii of same circle are always :a)may inchired at any angleb)perpendicularc)paralleld)parallel and may inchired at any angleCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two radii of same circle are always :a)may inchired at any angleb)perpendicularc)paralleld)parallel and may inchired at any angleCorrect answer is option 'D'. Can you explain this answer?.
Two radii of same circle are always :a)may inchired at any angleb)perpendicularc)paralleld)parallel and may inchired at any angleCorrect answer is option 'D'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Two radii of same circle are always :a)may inchired at any angleb)perpendicularc)paralleld)parallel and may inchired at any angleCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two radii of same circle are always :a)may inchired at any angleb)perpendicularc)paralleld)parallel and may inchired at any angleCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Two radii of same circle are always :a)may inchired at any angleb)perpendicularc)paralleld)parallel and may inchired at any angleCorrect answer is option 'D'. Can you explain this answer? 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 Two radii of same circle are always :a)may inchired at any angleb)perpendicularc)paralleld)parallel and may inchired at any angleCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Two radii of same circle are always :a)may inchired at any angleb)perpendicularc)paralleld)parallel and may inchired at any angleCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Two radii of same circle are always :a)may inchired at any angleb)perpendicularc)paralleld)parallel and may inchired at any angleCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Two radii of same circle are always :a)may inchired at any angleb)perpendicularc)paralleld)parallel and may inchired at any angleCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Two radii of same circle are always :a)may inchired at any angleb)perpendicularc)paralleld)parallel and may inchired at any angleCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Class 9 tests.
|
|
Explore Courses for Class 9 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© 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