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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 : In a circle of radius 6 cm, the angle of a sector 60o. Then the area of the sector is 186/7 cm2.
Reason: Area of the circle with radius r is πr2.
- 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 'B'. Can you explain this answer?
Most Upvoted Answer
Direction: In the Following Questions, A Statement of Assertion (A) I...
Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
Area of the sector = θ/360 x πr2
= 60/360 x 22/7 x 6 x 6
= 132/7 = 186/7cm2.
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Direction: In the Following Questions, A Statement of Assertion (A) I...
Assertion: In a circle of radius 6 cm, the angle of a sector is 60°.
Reason: The area of the circle with radius r is πr².
Explanation:
To determine the correctness of the assertion and reason, let's analyze them separately.
Assertion: In a circle of radius 6 cm, the angle of a sector is 60°.
This assertion is true. In a circle, the central angle of a sector is measured in degrees. Here, it is given that the angle of the sector is 60°.
Reason: The area of the circle with radius r is πr².
This reason is also true. The formula to calculate the area of a circle is given by A = πr², where A represents the area and r represents the radius. By substituting the radius value of 6 cm into the formula, we can calculate the area of the circle.
Now, let's analyze the relationship between the assertion and the reason.
The reason provided is indeed a correct explanation for the assertion. The area of the sector can be calculated by finding the fraction of the circle's area that the sector covers. Since the angle of the sector is given as 60°, we can use the formula:
Area of the sector = (Angle of the sector / 360°) * Area of the circle
Substituting the values, we get:
Area of the sector = (60° / 360°) * π * (6 cm)²
= (1/6) * π * 36 cm²
= 6π cm²
= 18.85 cm² (approx.)
The area of the sector is approximately 18.85 cm², which is equal to 186/7 cm².
Therefore, both the assertion and the reason are true, and the reason is the correct explanation for the assertion.
Answer: Option B
Reason: The area of the circle with radius r is πr².
Explanation:
To determine the correctness of the assertion and reason, let's analyze them separately.
Assertion: In a circle of radius 6 cm, the angle of a sector is 60°.
This assertion is true. In a circle, the central angle of a sector is measured in degrees. Here, it is given that the angle of the sector is 60°.
Reason: The area of the circle with radius r is πr².
This reason is also true. The formula to calculate the area of a circle is given by A = πr², where A represents the area and r represents the radius. By substituting the radius value of 6 cm into the formula, we can calculate the area of the circle.
Now, let's analyze the relationship between the assertion and the reason.
The reason provided is indeed a correct explanation for the assertion. The area of the sector can be calculated by finding the fraction of the circle's area that the sector covers. Since the angle of the sector is given as 60°, we can use the formula:
Area of the sector = (Angle of the sector / 360°) * Area of the circle
Substituting the values, we get:
Area of the sector = (60° / 360°) * π * (6 cm)²
= (1/6) * π * 36 cm²
= 6π cm²
= 18.85 cm² (approx.)
The area of the sector is approximately 18.85 cm², which is equal to 186/7 cm².
Therefore, both the assertion and the reason are true, and the reason is the correct explanation for the assertion.
Answer: Option B
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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 : In a circle of radius 6 cm, the angle of a sector 60o. Then the area of the sector is 186/7 cm2.Reason: Area of the circle with radius r is πr2.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 'B'. 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 : In a circle of radius 6 cm, the angle of a sector 60o. Then the area of the sector is 186/7 cm2.Reason: Area of the circle with radius r is πr2.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 'B'. 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 : In a circle of radius 6 cm, the angle of a sector 60o. Then the area of the sector is 186/7 cm2.Reason: Area of the circle with radius r is πr2.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 'B'. 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 : In a circle of radius 6 cm, the angle of a sector 60o. Then the area of the sector is 186/7 cm2.Reason: Area of the circle with radius r is πr2.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 'B'. 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 : In a circle of radius 6 cm, the angle of a sector 60o. Then the area of the sector is 186/7 cm2.Reason: Area of the circle with radius r is πr2.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 'B'. 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 : In a circle of radius 6 cm, the angle of a sector 60o. Then the area of the sector is 186/7 cm2.Reason: Area of the circle with radius r is πr2.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 'B'. 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 : In a circle of radius 6 cm, the angle of a sector 60o. Then the area of the sector is 186/7 cm2.Reason: Area of the circle with radius r is πr2.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 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
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