Class 5 Exam > Class 5 Questions > Which of the following is correct?a)Only a li...
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Which of the following is correct?
- a)Only a limited number of radii can be drawn in a circle.
- b)An infinite number of diameters can be drawn in a circle.
- c)Some of the diameters do not pass through the centre of the circle.
- d)A circle may have infinite number of centres.
Correct answer is option 'B'. Can you explain this answer?
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Which of the following is correct?a)Only a limited number of radii can...
We can draw infinite lines that pass through the center of the circle with endpoints on the circumference of the circle. Hence, a circle can have countless number of diameters.
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Which of the following is correct?a)Only a limited number of radii can...
Answer:
A circle is a closed shape consisting of all points in a plane that are equidistant from a fixed point called the center. Let's analyze each of the given options to determine which one is correct.
Option a) Only a limited number of radii can be drawn in a circle:
- A radius is a line segment that joins the center of a circle to any point on its circumference.
- In a circle, there are an infinite number of radii.
- Starting from the center, you can draw a radius to any point on the circumference.
- Therefore, option a) is incorrect.
Option b) An infinite number of diameters can be drawn in a circle:
- A diameter is a line segment that passes through the center of a circle and has both endpoints on the circumference.
- In a circle, there are an infinite number of diameters.
- Every radius can be extended to become a diameter by connecting two points on the circumference.
- Additionally, diameters can be drawn at any angle through the center of the circle.
- Therefore, option b) is correct.
Option c) Some of the diameters do not pass through the center of the circle:
- By definition, a diameter must pass through the center of a circle.
- It is not possible to have a diameter that does not pass through the center.
- Therefore, option c) is incorrect.
Option d) A circle may have an infinite number of centers:
- The center of a circle is a fixed point equidistant from all points on its circumference.
- A circle can only have one center.
- If there were multiple centers, the distances from the points on the circumference to each center would not be equal.
- Therefore, option d) is incorrect.
Conclusion:
The correct answer is option b) An infinite number of diameters can be drawn in a circle. This is because a diameter is a line segment that passes through the center of a circle and has both endpoints on the circumference. Every radius can be extended to become a diameter, and diameters can be drawn at any angle through the center.
A circle is a closed shape consisting of all points in a plane that are equidistant from a fixed point called the center. Let's analyze each of the given options to determine which one is correct.
Option a) Only a limited number of radii can be drawn in a circle:
- A radius is a line segment that joins the center of a circle to any point on its circumference.
- In a circle, there are an infinite number of radii.
- Starting from the center, you can draw a radius to any point on the circumference.
- Therefore, option a) is incorrect.
Option b) An infinite number of diameters can be drawn in a circle:
- A diameter is a line segment that passes through the center of a circle and has both endpoints on the circumference.
- In a circle, there are an infinite number of diameters.
- Every radius can be extended to become a diameter by connecting two points on the circumference.
- Additionally, diameters can be drawn at any angle through the center of the circle.
- Therefore, option b) is correct.
Option c) Some of the diameters do not pass through the center of the circle:
- By definition, a diameter must pass through the center of a circle.
- It is not possible to have a diameter that does not pass through the center.
- Therefore, option c) is incorrect.
Option d) A circle may have an infinite number of centers:
- The center of a circle is a fixed point equidistant from all points on its circumference.
- A circle can only have one center.
- If there were multiple centers, the distances from the points on the circumference to each center would not be equal.
- Therefore, option d) is incorrect.
Conclusion:
The correct answer is option b) An infinite number of diameters can be drawn in a circle. This is because a diameter is a line segment that passes through the center of a circle and has both endpoints on the circumference. Every radius can be extended to become a diameter, and diameters can be drawn at any angle through the center.
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Which of the following is correct?a)Only a limited number of radii can be drawn in a circle.b)An infinite number of diameters can be drawn in a circle.c)Some of the diameters do not pass through the centre of the circle.d)A circle may have infinite number of centres.Correct answer is option 'B'. Can you explain this answer?
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Which of the following is correct?a)Only a limited number of radii can be drawn in a circle.b)An infinite number of diameters can be drawn in a circle.c)Some of the diameters do not pass through the centre of the circle.d)A circle may have infinite number of centres.Correct answer is option 'B'. Can you explain this answer? for Class 5 2024 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about Which of the following is correct?a)Only a limited number of radii can be drawn in a circle.b)An infinite number of diameters can be drawn in a circle.c)Some of the diameters do not pass through the centre of the circle.d)A circle may have infinite number of centres.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 5 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following is correct?a)Only a limited number of radii can be drawn in a circle.b)An infinite number of diameters can be drawn in a circle.c)Some of the diameters do not pass through the centre of the circle.d)A circle may have infinite number of centres.Correct answer is option 'B'. Can you explain this answer?.
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Which of the following is correct?a)Only a limited number of radii can be drawn in a circle.b)An infinite number of diameters can be drawn in a circle.c)Some of the diameters do not pass through the centre of the circle.d)A circle may have infinite number of centres.Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Which of the following is correct?a)Only a limited number of radii can be drawn in a circle.b)An infinite number of diameters can be drawn in a circle.c)Some of the diameters do not pass through the centre of the circle.d)A circle may have infinite number of centres.Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Which of the following is correct?a)Only a limited number of radii can be drawn in a circle.b)An infinite number of diameters can be drawn in a circle.c)Some of the diameters do not pass through the centre of the circle.d)A circle may have infinite number of centres.Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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