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Direction: In the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct answer as
Assertion : The circumference of a circle must be a positive real number.
Reason : If r(>) 0 is the radius of the circle, then its circumference 2πr is a positive real number.
  • a)
    Both assertion and reason are true and reason is the correct explanation of assertion.
  • b)
    Both assertion and reason are true but reason is not the correct explanation of assertion.
  • c)
    Assertion is true but reason is false.
  • d)
    Assertion is false but reason is true
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Direction: In the following questions, a statement of Assertion is gi...
The circumference of a circle is its perimeter or distance around it. It is denoted by C in math formulas and has units of distance, such as millimeters (mm), centimeters (cm), meters (m), or inches (in). It is related to the radius, diameter, and pi using the following equations: C = πd. C = 2πr.
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Most Upvoted Answer
Direction: In the following questions, a statement of Assertion is gi...
Assertion : The circumference of a circle must be a positive real number.
Reason : If r(>) 0 is the radius of the circle, then its circumference 2πr is a positive real number.

To evaluate the given Assertion and Reason, let's break down the statements and analyze them individually.

Assertion: The circumference of a circle must be a positive real number.
This statement is true because the circumference of a circle represents the distance around its boundary. Distance is always a positive quantity, and the circumference of a circle cannot be negative or zero.

Reason: If r(>) 0 is the radius of the circle, then its circumference 2πr is a positive real number.
This statement is also true. The formula for calculating the circumference of a circle is given by 2πr, where r is the radius of the circle. The radius of a circle is always a positive real number because it represents the distance from the center of the circle to any point on its boundary. Multiplying a positive real number (r) by a positive constant (2π) will always result in a positive real number.

Explanation:
The reason provided is a correct explanation of the assertion. The circumference of a circle is directly proportional to its radius, and multiplying the radius by a positive constant (2π) will always result in a positive real number. Therefore, the reason justifies why the circumference of a circle must be a positive real number.

Conclusion:
Based on the evaluation of the Assertion and Reason, we can conclude that both the Assertion and Reason are true, and the Reason is the correct explanation of the Assertion.
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Direction: In the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct answer asAssertion : The circumference of a circle must be a positive real number.Reason : If r(>) 0 is the radius of the circle, then its circumference 2πr is a positive real number.a)Both assertion and reason are true and reason is the correct explanation of assertion.b)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Assertion is false but reason is trueCorrect answer is option 'A'. Can you explain this answer?
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Direction: In the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct answer asAssertion : The circumference of a circle must be a positive real number.Reason : If r(>) 0 is the radius of the circle, then its circumference 2πr is a positive real number.a)Both assertion and reason are true and reason is the correct explanation of assertion.b)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Assertion is false but reason is trueCorrect answer is option 'A'. Can you explain this answer? 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 Direction: In the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct answer asAssertion : The circumference of a circle must be a positive real number.Reason : If r(>) 0 is the radius of the circle, then its circumference 2πr is a positive real number.a)Both assertion and reason are true and reason is the correct explanation of assertion.b)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Assertion is false but reason is trueCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: In the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct answer asAssertion : The circumference of a circle must be a positive real number.Reason : If r(>) 0 is the radius of the circle, then its circumference 2πr is a positive real number.a)Both assertion and reason are true and reason is the correct explanation of assertion.b)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Assertion is false but reason is trueCorrect answer is option 'A'. Can you explain this answer?.
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