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09 Mar 2022, 07:30
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C
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Difficulty:
15%
(low)
Question Stats:
88% (01:37) correct
13%
(01:52)
wrong
based on 56
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In the figure below, ABCD is a rectangle. What is the area of the semi-circular region with centre O and diameter BC?
(1) \(\frac{BC}{AB}\) = \(\frac{3}{4}\)
(2) \(BD = 25\)
Attachment:
Rectangle.PNG [ 2.77 KiB | Viewed 1415 times ]
PyjamaScientist
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09 Mar 2022, 07:49
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What is the area of the semi-circular region with centre O and diameter BC?
To answer this we need to find the length of BC to estimate the area of the semi-circular region.
(1) \(\frac{BC}{AB}\) = \(\frac{3}{4}\)
This gives the ratio between the two sides. BC can be 6, 12, 24, so on. correspondingly AB can be 8, 16, 32 so on. So, we do not get a definite value of BC. Insufficient.
(2) \(BD = 25\)
This means that the other two sides are 15 and 20. But who's who is still not clear. BC can be 15 or 20. And that would give two different areas. Insufficient.
(1) + (2),
This restricts the value of BC = 15. Thus, sufficient to answer the question.
Option (C)
To answer this we need to find the length of BC to estimate the area of the semi-circular region.
(1) \(\frac{BC}{AB}\) = \(\frac{3}{4}\)
This gives the ratio between the two sides. BC can be 6, 12, 24, so on. correspondingly AB can be 8, 16, 32 so on. So, we do not get a definite value of BC. Insufficient.
(2) \(BD = 25\)
This means that the other two sides are 15 and 20. But who's who is still not clear. BC can be 15 or 20. And that would give two different areas. Insufficient.
(1) + (2),
This restricts the value of BC = 15. Thus, sufficient to answer the question.
Option (C)
