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Direction: In the Following Questions, A Statement of Assertion (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:
Assertion : If the circumference of a circle is 176 cm, then its radius is 28 cm.
Reason : Circumference = 2π x radius
- a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
- b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
- c)Assertion (A) is true but reason (R) is false.
- d)Assertion (A) is false but reason (R) is true.
Correct answer is option 'A'. Can you explain this answer?
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Direction: In the Following Questions, A Statement of Assertion (A) I...
Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A). Both assertion and reason are correct. Also Reason is the correct explanation of the assertion.
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Direction: In the Following Questions, A Statement of Assertion (A) I...
Assertion : If the circumference of a circle is 176 cm, then its radius is 28 cm.
Reason : Circumference = 2π x radius
To prove whether the assertion and reason are true or not, let's analyze them step by step.
1. Understanding the Assertion:
The assertion states that if the circumference of a circle is 176 cm, then its radius is 28 cm. This means that there is a specific relationship between the circumference and radius of a circle.
2. Understanding the Reason:
The reason provided is the formula for calculating the circumference of a circle, which is C = 2πr, where C represents the circumference and r represents the radius. This formula is widely accepted and used to calculate the circumference of a circle.
Now, let's evaluate the assertion and reason together.
3. Evaluating the Assertion and Reason:
To check if the assertion is true, we can substitute the given circumference value (176 cm) into the formula for the circumference of a circle.
C = 2πr
176 = 2πr
Now, we need to solve the equation to find the value of r (radius).
Dividing both sides of the equation by 2π:
176/(2π) = r
r ≈ 28
Therefore, the radius of the circle is approximately 28 cm, which matches the assertion. The assertion is true.
Now, let's evaluate the reason. The reason states that the circumference of a circle is calculated using the formula C = 2πr. This formula is widely accepted and used in mathematics to calculate the circumference of a circle. Hence, the reason is true.
4. Conclusion:
Both the assertion and reason are true. Furthermore, the reason (the formula for calculating the circumference of a circle) explains why the assertion is true.
Therefore, the correct choice is option 'A': Both assertion (A) and reason (R) are true, and reason (R) is the correct explanation of assertion (A).
Reason : Circumference = 2π x radius
To prove whether the assertion and reason are true or not, let's analyze them step by step.
1. Understanding the Assertion:
The assertion states that if the circumference of a circle is 176 cm, then its radius is 28 cm. This means that there is a specific relationship between the circumference and radius of a circle.
2. Understanding the Reason:
The reason provided is the formula for calculating the circumference of a circle, which is C = 2πr, where C represents the circumference and r represents the radius. This formula is widely accepted and used to calculate the circumference of a circle.
Now, let's evaluate the assertion and reason together.
3. Evaluating the Assertion and Reason:
To check if the assertion is true, we can substitute the given circumference value (176 cm) into the formula for the circumference of a circle.
C = 2πr
176 = 2πr
Now, we need to solve the equation to find the value of r (radius).
Dividing both sides of the equation by 2π:
176/(2π) = r
r ≈ 28
Therefore, the radius of the circle is approximately 28 cm, which matches the assertion. The assertion is true.
Now, let's evaluate the reason. The reason states that the circumference of a circle is calculated using the formula C = 2πr. This formula is widely accepted and used in mathematics to calculate the circumference of a circle. Hence, the reason is true.
4. Conclusion:
Both the assertion and reason are true. Furthermore, the reason (the formula for calculating the circumference of a circle) explains why the assertion is true.
Therefore, the correct choice is option 'A': Both assertion (A) and reason (R) are true, and reason (R) is the correct explanation of assertion (A).
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Direction: In the Following Questions, A Statement of Assertion (A) I...
A is true but r is false
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Direction: In the Following Questions, A Statement of Assertion (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:Assertion : If the circumference of a circle is 176 cm, then its radius is 28 cm.Reason : Circumference = 2π x radiusa)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Direction: In the Following Questions, A Statement of Assertion (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:Assertion : If the circumference of a circle is 176 cm, then its radius is 28 cm.Reason : Circumference = 2π x radiusa)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: In the Following Questions, A Statement of Assertion (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:Assertion : If the circumference of a circle is 176 cm, then its radius is 28 cm.Reason : Circumference = 2π x radiusa)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer?.
Direction: In the Following Questions, A Statement of Assertion (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:Assertion : If the circumference of a circle is 176 cm, then its radius is 28 cm.Reason : Circumference = 2π x radiusa)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Direction: In the Following Questions, A Statement of Assertion (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:Assertion : If the circumference of a circle is 176 cm, then its radius is 28 cm.Reason : Circumference = 2π x radiusa)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: In the Following Questions, A Statement of Assertion (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:Assertion : If the circumference of a circle is 176 cm, then its radius is 28 cm.Reason : Circumference = 2π x radiusa)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer?.
Solutions for Direction: In the Following Questions, A Statement of Assertion (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:Assertion : If the circumference of a circle is 176 cm, then its radius is 28 cm.Reason : Circumference = 2π x radiusa)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
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Here you can find the meaning of Direction: In the Following Questions, A Statement of Assertion (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:Assertion : If the circumference of a circle is 176 cm, then its radius is 28 cm.Reason : Circumference = 2π x radiusa)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Direction: In the Following Questions, A Statement of Assertion (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:Assertion : If the circumference of a circle is 176 cm, then its radius is 28 cm.Reason : Circumference = 2π x radiusa)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Direction: In the Following Questions, A Statement of Assertion (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:Assertion : If the circumference of a circle is 176 cm, then its radius is 28 cm.Reason : Circumference = 2π x radiusa)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Direction: In the Following Questions, A Statement of Assertion (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:Assertion : If the circumference of a circle is 176 cm, then its radius is 28 cm.Reason : Circumference = 2π x radiusa)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Direction: In the Following Questions, A Statement of Assertion (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:Assertion : If the circumference of a circle is 176 cm, then its radius is 28 cm.Reason : Circumference = 2π x radiusa)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Class 10 tests.
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