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18 May 2018, 01:26
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D
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Difficulty:
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Question Stats:
92% (00:42) correct
8%
(01:02)
wrong
based on 264
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What is the circumference of circular region R?
(1) The area of R is 36 \(\pi\)
(2) The area of a square region inscribed in R is 72.
(1) The area of R is 36 \(\pi\)
(2) The area of a square region inscribed in R is 72.
18 May 2018, 01:38
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alanforde800Maximus
We are looking for circumference.
what do we require - RADIUS
(1) The area of R is 36 \(\pi\)
we can get the RADIUS.
A=\(\pi*r^2=36*\pi\)..
so r=6.
sufficient
(2) The area of a square region inscribed in R is 72.
so the diagonal of square will be the DIA of circle..
so \(x^2=72......x=6\sqrt{2}\)
diagonal of square = \(6\sqrt{2}*\sqrt{2}=12\)
so DIA = 12 and so R = 12/2=6
suff
D
18 May 2018, 03:47
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1. Area is 36π = π r^2. Therefore r=6 . We can now calculate 2 πr – Sufficient
2. The area of a square region inscribed in R is 72. i.e. side of square is √72 = 6√2. Therefore, its diagonal is 6√2*√2=12. Therfore, r=6. We can now calculate 2 πr – Sufficient
Both statement is sufficient alone. Answer is D
2. The area of a square region inscribed in R is 72. i.e. side of square is √72 = 6√2. Therefore, its diagonal is 6√2*√2=12. Therfore, r=6. We can now calculate 2 πr – Sufficient
Both statement is sufficient alone. Answer is D
