CTET & State TET Exam > CTET & State TET Questions > If the circumference of a circle is 3 cm, the...
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If the circumference of a circle is 3 cm, then its area, in cm2, is
- a)9/(4π)
- b)4/(9π)
- c)(9π)/4
- d)(3π)/2
Correct answer is option 'A'. Can you explain this answer?
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If the circumference of a circle is 3 cm, then its area, in cm2, isa)9...
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If the circumference of a circle is 3 cm, then its area, in cm2, isa)9...
The formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius. In this case, we are given that the circumference is 3 cm. So, we have:
3 = 2πr
To find the area of the circle, we need to use the formula A = πr^2, where A is the area and r is the radius. We can solve for r in the circumference equation and substitute it into the area equation:
3 = 2πr
r = 3/(2π)
A = π(3/(2π))^2
A = π(9/(4π^2))
A = 9/(4π)
So, the area of the circle is 9/(4π) cm^2.
Therefore, the correct answer is a) 9/(4π) cm^2.
3 = 2πr
To find the area of the circle, we need to use the formula A = πr^2, where A is the area and r is the radius. We can solve for r in the circumference equation and substitute it into the area equation:
3 = 2πr
r = 3/(2π)
A = π(3/(2π))^2
A = π(9/(4π^2))
A = 9/(4π)
So, the area of the circle is 9/(4π) cm^2.
Therefore, the correct answer is a) 9/(4π) cm^2.
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If the circumference of a circle is 3 cm, then its area, in cm2, isa)9/(4π)b)4/(9π)c)(9π)/4d)(3π)/2Correct answer is option 'A'. Can you explain this answer? for CTET & State TET 2025 is part of CTET & State TET preparation. The Question and answers have been prepared according to the CTET & State TET exam syllabus. Information about If the circumference of a circle is 3 cm, then its area, in cm2, isa)9/(4π)b)4/(9π)c)(9π)/4d)(3π)/2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CTET & State TET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the circumference of a circle is 3 cm, then its area, in cm2, isa)9/(4π)b)4/(9π)c)(9π)/4d)(3π)/2Correct answer is option 'A'. Can you explain this answer?.
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