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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: A wire is looped in the form of a circle of radius 28 cm. It is bent into a square. Then the area of the square is 1936 cm2.
Reason : Angle described by a minute hand in 60 minutes = 360o.
- a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
- b)Assertion (A) is false but reason (R) is true.
- c)Assertion (A) is true but reason (R) is false.
- d)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Direction: In the Following Questions, A Statement of Assertion (A) Is...
Assertion: A wire is looped in the form of a circle of radius 28 cm. It is bent into a square. Then the area of the square is 1936 cm^2.
Reason: Angle described by a minute hand in 60 minutes = 360°.
Explanation:
To understand why the correct answer is option 'D', let's break down the problem into two parts:
Part 1: Wire looped in the form of a circle and bent into a square
- When a wire is looped in the form of a circle, the wire forms the circumference of the circle.
- The formula for the circumference of a circle is C = 2πr, where r is the radius of the circle.
- Given that the radius of the circle is 28 cm, the circumference of the circle would be C = 2π(28) = 56π cm.
- Now, when the wire is bent into a square, the length of the wire becomes equal to the perimeter of the square.
- The formula for the perimeter of a square is P = 4s, where s is the length of one side of the square.
- Therefore, 56π cm = 4s, which gives us s = 14π cm.
Part 2: Determining the area of the square
- The area of a square is given by the formula A = s^2, where s is the length of one side of the square.
- Substituting the value of s from Part 1, we get A = (14π)^2 = 196π^2 cm^2.
- Now, if we approximate the value of π to be 3.14, the area of the square would be approximately 1936 cm^2 (196 * 3.14^2).
- Therefore, the area of the square is 1936 cm^2.
Conclusion:
The assertion that the area of the square formed by bending the wire into a square is 1936 cm^2 is true. However, the reason given about the angle described by a minute hand in 60 minutes being 360° is irrelevant and does not provide any explanation for the assertion. Hence, the reason is false. Therefore, the correct answer is option 'D' - Assertion (A) is false but reason (R) is true.
Reason: Angle described by a minute hand in 60 minutes = 360°.
Explanation:
To understand why the correct answer is option 'D', let's break down the problem into two parts:
Part 1: Wire looped in the form of a circle and bent into a square
- When a wire is looped in the form of a circle, the wire forms the circumference of the circle.
- The formula for the circumference of a circle is C = 2πr, where r is the radius of the circle.
- Given that the radius of the circle is 28 cm, the circumference of the circle would be C = 2π(28) = 56π cm.
- Now, when the wire is bent into a square, the length of the wire becomes equal to the perimeter of the square.
- The formula for the perimeter of a square is P = 4s, where s is the length of one side of the square.
- Therefore, 56π cm = 4s, which gives us s = 14π cm.
Part 2: Determining the area of the square
- The area of a square is given by the formula A = s^2, where s is the length of one side of the square.
- Substituting the value of s from Part 1, we get A = (14π)^2 = 196π^2 cm^2.
- Now, if we approximate the value of π to be 3.14, the area of the square would be approximately 1936 cm^2 (196 * 3.14^2).
- Therefore, the area of the square is 1936 cm^2.
Conclusion:
The assertion that the area of the square formed by bending the wire into a square is 1936 cm^2 is true. However, the reason given about the angle described by a minute hand in 60 minutes being 360° is irrelevant and does not provide any explanation for the assertion. Hence, the reason is false. Therefore, the correct answer is option 'D' - Assertion (A) is false but reason (R) is true.
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Community Answer
Direction: In the Following Questions, A Statement of Assertion (A) Is...
Assertion (A) is false but reason (R) is true.
We have,
2π r = length of wire
2 x 22/7 x 28 = length of wire
length of wire = 176cm
Now, perimeter of square = 176
4a = 176
a = 44
Area of square = (44)2 = 1936 cm2
The minute hand moves 360 degrees in 60 minute(or 6 degrees in one minute) and hour hand moves 360 degrees in 12 hours(or 0.5 degrees in 1 minute).
The minute hand moves 360 degrees in 60 minute(or 6 degrees in one minute) and hour hand moves 360 degrees in 12 hours(or 0.5 degrees in 1 minute).
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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: A wire is looped in the form of a circle of radius 28 cm. It is bent into a square. Then the area of the square is 1936 cm2.Reason : Angle described by a minute hand in 60 minutes = 360o.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Assertion (A) is false but reason (R) is true.c)Assertion (A) is true but reason (R) is false.d)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).Correct answer is option 'D'. 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: A wire is looped in the form of a circle of radius 28 cm. It is bent into a square. Then the area of the square is 1936 cm2.Reason : Angle described by a minute hand in 60 minutes = 360o.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Assertion (A) is false but reason (R) is true.c)Assertion (A) is true but reason (R) is false.d)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).Correct answer is option 'D'. 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: A wire is looped in the form of a circle of radius 28 cm. It is bent into a square. Then the area of the square is 1936 cm2.Reason : Angle described by a minute hand in 60 minutes = 360o.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Assertion (A) is false but reason (R) is true.c)Assertion (A) is true but reason (R) is false.d)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).Correct answer is option 'D'. 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: A wire is looped in the form of a circle of radius 28 cm. It is bent into a square. Then the area of the square is 1936 cm2.Reason : Angle described by a minute hand in 60 minutes = 360o.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Assertion (A) is false but reason (R) is true.c)Assertion (A) is true but reason (R) is false.d)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).Correct answer is option 'D'. 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: A wire is looped in the form of a circle of radius 28 cm. It is bent into a square. Then the area of the square is 1936 cm2.Reason : Angle described by a minute hand in 60 minutes = 360o.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Assertion (A) is false but reason (R) is true.c)Assertion (A) is true but reason (R) is false.d)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).Correct answer is option 'D'. 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: A wire is looped in the form of a circle of radius 28 cm. It is bent into a square. Then the area of the square is 1936 cm2.Reason : Angle described by a minute hand in 60 minutes = 360o.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Assertion (A) is false but reason (R) is true.c)Assertion (A) is true but reason (R) is false.d)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).Correct answer is option 'D'. 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: A wire is looped in the form of a circle of radius 28 cm. It is bent into a square. Then the area of the square is 1936 cm2.Reason : Angle described by a minute hand in 60 minutes = 360o.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Assertion (A) is false but reason (R) is true.c)Assertion (A) is true but reason (R) is false.d)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).Correct answer is option 'D'. 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: A wire is looped in the form of a circle of radius 28 cm. It is bent into a square. Then the area of the square is 1936 cm2.Reason : Angle described by a minute hand in 60 minutes = 360o.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Assertion (A) is false but reason (R) is true.c)Assertion (A) is true but reason (R) is false.d)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
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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: A wire is looped in the form of a circle of radius 28 cm. It is bent into a square. Then the area of the square is 1936 cm2.Reason : Angle described by a minute hand in 60 minutes = 360o.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Assertion (A) is false but reason (R) is true.c)Assertion (A) is true but reason (R) is false.d)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Class 10 tests.
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