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30 Oct 2019, 02:28
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
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83% (01:23) correct
17%
(02:10)
wrong
based on 48
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If each of the four circles shown above touches two other circles at exactly one point each and has a radius of 6, what is the perimeter of the shaded region?
A. \(12\pi\)
B. \(8\pi\)
C. \(6\pi\)
D. \(4\pi\)
E. \(3\pi\)
Attachment:
image038.jpg [ 4.66 KiB | Viewed 1691 times ]
each part of the shaded region among circles is exactly \(\frac{1}{4}\)th of the circumference of circle.
Hence, perimeter of the shaded region = Perimeter/circumference of circle = \(2*π*6 = 12π\)
IMO Option A!
Hence, perimeter of the shaded region = Perimeter/circumference of circle = \(2*π*6 = 12π\)
IMO Option A!
General Discussion
Archit3110
Major Poster
30 Oct 2019, 09:06
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for 1 of the circles the circumference = 90/360 * 2* Pi *6 = 3 pi and for 4 sides ; 4*3pi = 12 pi
IMO A
IMO A
Bunuel
