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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): The area enclosed by the circle x2 + y2 = a2 is πa2.
Reason (R): The area enclosed by the circle
  • a)
    Both A and R are true and R is the correct explanation of A
  • b)
    Both A and R are true but R is NOT the correct explanation of A
  • c)
    A is true but R is false
  • d)
    A is false and R is True
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Direction: In the following questions, A statement of Assertion (A) i...
The correct answer is a) Both A and R are true and R is the correct explanation of A.
The area of a circle is given by the formula A = πr^2, where A is the area of the circle, π is a constant approximately equal to 3.14, and r is the radius of the circle.

In this case, the equation of the circle is x^2 + y^2 = a^2. This equation is in the form (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center of the circle and r is the radius. Therefore, the radius of the circle is a, and the center of the circle is at the point (0,0).

Using the formula for the area of a circle, the area of the circle described by the equation x^2 + y^2 = a^2 is A = πr^2 = π(a^2) = πa^2.

Therefore, both the assertion (A) and the reason (R) are true, and R is the correct explanation of A. The correct answer is a) Both A and R are true and R is the correct explanation of 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 asAssertion (A): The area enclosed by the circle x2 + y2 = a2 is πa2.Reason (R): The area enclosed by the circlea)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect 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 asAssertion (A): The area enclosed by the circle x2 + y2 = a2 is πa2.Reason (R): The area enclosed by the circlea)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'A'. Can you explain this answer? for Commerce 2024 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce 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 asAssertion (A): The area enclosed by the circle x2 + y2 = a2 is πa2.Reason (R): The area enclosed by the circlea)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Commerce 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 asAssertion (A): The area enclosed by the circle x2 + y2 = a2 is πa2.Reason (R): The area enclosed by the circlea)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect 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 asAssertion (A): The area enclosed by the circle x2 + y2 = a2 is πa2.Reason (R): The area enclosed by the circlea)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Commerce. Download more important topics, notes, lectures and mock test series for Commerce Exam by signing up for free.
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