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Circles

by harsh.champ » Mon Feb 08, 2010 4:59 am
From a circular sheet of paper with a radius of 20 cm, four circles of radius 5cm each are cut out. What is the ratio of the uncut to the cut portion?

(A)1 : 3
(B)4 : 1
(C)3 : 1
(D)4 : 3
(E)None of these

THe OA is C.
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by shashank.ism » Mon Feb 08, 2010 5:19 am
harsh.champ wrote:From a circular sheet of paper with a radius of 20 cm, four circles of radius 5cm each are cut out. What is the ratio of the uncut to the cut portion?

(A)1 : 3
(B)4 : 1
(C)3 : 1
(D)4 : 3
(E)None of these

THe OA is C.
area cut = 4xpie 5^2
total area = pie 20^2

area uncut = pie 20^2-4xpie 5^2


ratio = (pie 20^2-4xpie 5^2)/4xpie 5^2 = 400-100/100 =[spoiler]3:1[/spoiler] Ans C

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