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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 outer and inner diameter of a circular path is 10 m and 6 m then area of the path is 16π m2.
Reason : If R and r be the radius of outer and inner circular path = π(R2 -r2).
- 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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Area of the path
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Direction: In the Following Questions, A Statement of Assertion (A) I...
Assertion: If the outer and inner diameter of a circular path is 10 m and 6 m, then the area of the path is 16π m².
Reason: If R and r be the radius of the outer and inner circular path = π(R² - r²).
To understand this assertion and reason, let's break it down step by step:
1. Understanding the Assertion:
The assertion states that if the outer and inner diameters of a circular path are given as 10 m and 6 m, respectively, then the area of the path is 16π m².
2. Understanding the Reason:
The reason states that if R and r are the radii of the outer and inner circular paths, then the area of the path can be calculated using the formula π(R² - r²).
Explanation:
To understand why the assertion and reason are correct, we need to recall the formulas for the area of a circle and the difference of squares.
- The formula for the area of a circle is given by A = πr², where A is the area and r is the radius of the circle.
- The difference of squares formula is given by (a² - b²) = (a + b)(a - b).
Now, let's calculate the area of the circular path using the given information:
1. Finding the Radii:
The outer diameter of the circular path is given as 10 m, so the radius of the outer circle is half of the diameter, which is 10/2 = 5 m.
The inner diameter of the circular path is given as 6 m, so the radius of the inner circle is half of the diameter, which is 6/2 = 3 m.
2. Calculating the Area:
Using the formula for the area of a circle, we can calculate the area of the outer circle as A₁ = π(5)² = 25π m².
Similarly, the area of the inner circle can be calculated as A₂ = π(3)² = 9π m².
3. Finding the Area of the Path:
The area of the path can be found by subtracting the area of the inner circle from the area of the outer circle, as A = A₁ - A₂.
Substituting the calculated values, we get A = 25π - 9π = 16π m².
Hence, the area of the path is indeed 16π m², which proves the assertion to be true.
In addition, the reason provided is also correct as it uses the formula π(R² - r²) to calculate the area of the path, which matches the calculation explained above.
Therefore, both the assertion and reason are true, and the reason is the correct explanation of the assertion. Hence, the correct answer is option 'A'.
Reason: If R and r be the radius of the outer and inner circular path = π(R² - r²).
To understand this assertion and reason, let's break it down step by step:
1. Understanding the Assertion:
The assertion states that if the outer and inner diameters of a circular path are given as 10 m and 6 m, respectively, then the area of the path is 16π m².
2. Understanding the Reason:
The reason states that if R and r are the radii of the outer and inner circular paths, then the area of the path can be calculated using the formula π(R² - r²).
Explanation:
To understand why the assertion and reason are correct, we need to recall the formulas for the area of a circle and the difference of squares.
- The formula for the area of a circle is given by A = πr², where A is the area and r is the radius of the circle.
- The difference of squares formula is given by (a² - b²) = (a + b)(a - b).
Now, let's calculate the area of the circular path using the given information:
1. Finding the Radii:
The outer diameter of the circular path is given as 10 m, so the radius of the outer circle is half of the diameter, which is 10/2 = 5 m.
The inner diameter of the circular path is given as 6 m, so the radius of the inner circle is half of the diameter, which is 6/2 = 3 m.
2. Calculating the Area:
Using the formula for the area of a circle, we can calculate the area of the outer circle as A₁ = π(5)² = 25π m².
Similarly, the area of the inner circle can be calculated as A₂ = π(3)² = 9π m².
3. Finding the Area of the Path:
The area of the path can be found by subtracting the area of the inner circle from the area of the outer circle, as A = A₁ - A₂.
Substituting the calculated values, we get A = 25π - 9π = 16π m².
Hence, the area of the path is indeed 16π m², which proves the assertion to be true.
In addition, the reason provided is also correct as it uses the formula π(R² - r²) to calculate the area of the path, which matches the calculation explained above.
Therefore, both the assertion and reason are true, and the reason is the correct explanation of the assertion. Hence, the correct answer is option 'A'.
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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 outer and inner diameter of a circular path is 10 m and 6 m then area of the path is 16π m2.Reason : If R and r be the radius of outer and inner circular path = π(R2 -r2).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) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:Assertion : If the outer and inner diameter of a circular path is 10 m and 6 m then area of the path is 16π m2.Reason : If R and r be the radius of outer and inner circular path = π(R2 -r2).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? for Class 10 2024 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 outer and inner diameter of a circular path is 10 m and 6 m then area of the path is 16π m2.Reason : If R and r be the radius of outer and inner circular path = π(R2 -r2).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? covers all topics & solutions for Class 10 2024 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 outer and inner diameter of a circular path is 10 m and 6 m then area of the path is 16π m2.Reason : If R and r be the radius of outer and inner circular path = π(R2 -r2).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?.
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 outer and inner diameter of a circular path is 10 m and 6 m then area of the path is 16π m2.Reason : If R and r be the radius of outer and inner circular path = π(R2 -r2).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? for Class 10 2024 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 outer and inner diameter of a circular path is 10 m and 6 m then area of the path is 16π m2.Reason : If R and r be the radius of outer and inner circular path = π(R2 -r2).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? covers all topics & solutions for Class 10 2024 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 outer and inner diameter of a circular path is 10 m and 6 m then area of the path is 16π m2.Reason : If R and r be the radius of outer and inner circular path = π(R2 -r2).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?.
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 outer and inner diameter of a circular path is 10 m and 6 m then area of the path is 16π m2.Reason : If R and r be the radius of outer and inner circular path = π(R2 -r2).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? in English & in Hindi are available as part of our courses for Class 10.
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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 outer and inner diameter of a circular path is 10 m and 6 m then area of the path is 16π m2.Reason : If R and r be the radius of outer and inner circular path = π(R2 -r2).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? tests, examples and also practice Class 10 tests.
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