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25 Jul 2022, 01:31
Kudos
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A
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Difficulty:
65%
(hard)
Question Stats:
47% (02:39) correct
53%
(01:30)
wrong
based on 30
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In the figure above, each of the 4 equal circles touch the square at exactly 2 points. If each circle touches exactly 2 other circles at one point and has a radius of 4, what is the area of the shaded region?
A. 192 – 48π
B. 192 – 60π
C. 240 – 68π
D. 240 – 60π
E. 256 – 64π
Are You Up For the Challenge: 700 Level Questions
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25 Jul 2022, 16:59
Kudos
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Bunuel
That red square has sides of length 8, so the area is 64
The circle inscribed in that square has area \(16\pi\)
The area in the square that's not in the circle is \(64 - 16\pi\)
We want 3/4ths of that and then need to multiply the outcome by 4 to account for the rest of the figure.
\(4*\frac{3}{4}*(64-16\pi) = 3*(64-16\pi) = 192-48\pi\)
Answer choice A.
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