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Two circular road signs are to be painted yellow. If the rad

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Two circular road signs are to be painted yellow. If the rad [#permalink]

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New post 19 Jun 2013, 07:48
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Question Stats:

78% (00:28) correct 22% (00:27) wrong based on 267 sessions

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Two circular road signs are to be painted yellow. If the radius of the larger sign is twice that of the smaller sign, how many times more paint is needed to paint the larger sign (assuming that a given amount of paint covers the same area on both signs)?

A. 2
B. 3
C. 4
D. 3 /2
E. 3/5
Spoiler: OA

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Re: Two circular road signs are to be painted yellow. If the rad [#permalink]

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New post 19 Jun 2013, 09:33
1
Let the radius of smaller circle be r

Let the radius of bigger circle be 2r

Now if the to complete the bigger circle the entire diameter will be 4 times that of the smaller circle. hence its 4.
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Re: Two circular road signs are to be painted yellow. If the rad [#permalink]

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New post 19 Jun 2013, 09:42
Here dont we need to find the circumference of the circle..Why we need to calculate the area?pls clarify?
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Re: Two circular road signs are to be painted yellow. If the rad [#permalink]

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New post 19 Jun 2013, 09:52
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skamal7 wrote:
Here dont we need to find the circumference of the circle..Why we need to calculate the area?pls clarify?


Two circular road signs are to be painted yellow. If the radius of the larger sign is twice that of the smaller sign, how many times more paint is needed to paint the larger sign (assuming that a given amount of paint covers the same area on both signs)

How many times more paint need means to cover the entire area, thus we just need to know area.
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Re: Two circular road signs are to be painted yellow. If the rad [#permalink]

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New post 19 Jun 2013, 09:56
thanks!it helped!
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Re: Two circular road signs are to be painted yellow. If the rad [#permalink]

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New post 08 Jun 2015, 10:19
Dear skamal

You see you need to understand the difference between circumference and area visually first.
if you draw a circle on paper then:-
the boundary of circle called circumference . it formula is 2*pie*radius

the space covered inside the closed boundary and also the space covered by the drawing of boundary(how so ever small it is) is called area..

Now you need to draw sign.
Unless stated otherwise, you can safely assume that you draw fully filled circle and not a empty circle.

Hope it helps
Kudos please if you like it. :)
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Re: Two circular road signs are to be painted yellow. If the rad [#permalink]

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New post 08 Jun 2015, 10:48
In this case we want to find how much more paint is needed for the larger sign.

We need to use the formula of calculating the area to get our answer, this is
r^2 * pi

r(larger sign) = r(smaller sign) * 2

So plugging that into the formula gives us

(r(smaller sign) * 2 ) ^ 2 * pi =
r(smaller sign) * 4 * pi

Hence we need 4 times more paint for the larger sign than the smaller sign.

Answer C
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Re: Two circular road signs are to be painted yellow. If the rad [#permalink]

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New post 05 Jan 2018, 23:53
prateekbhatt wrote:
Let the radius of smaller circle be r

Let the radius of bigger circle be 2r

Now if the to complete the bigger circle the entire diameter will be 4 times that of the smaller circle. hence its 4.


Hi,
I also followed the same approach but since in the question it was asked that how many times more paint is needed to paint the larger sign..
I subtracted the larger circle with that of the smaller circle. so the answer I got was 4-1 =3.

I feel for the answer to be 4 the question, the word more should have been omitted would have been something like
the paint on the larger cirlce would be how many times that of the smaller circle

Can somebody clear this doubt?
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Re: Two circular road signs are to be painted yellow. If the rad [#permalink]

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New post 17 Jan 2018, 13:02
suramya26 wrote:
prateekbhatt wrote:
Let the radius of smaller circle be r

Let the radius of bigger circle be 2r

Now if the to complete the bigger circle the entire diameter will be 4 times that of the smaller circle. hence its 4.


Hi,
I also followed the same approach but since in the question it was asked that how many times more paint is needed to paint the larger sign..
I subtracted the larger circle with that of the smaller circle. so the answer I got was 4-1 =3.

I feel for the answer to be 4 the question, the word more should have been omitted would have been something like
the paint on the larger cirlce would be how many times that of the smaller circle

Can somebody clear this doubt?



Hi I have the same doubt as well. Can some body please explain why the answer is not 3.
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Re: Two circular road signs are to be painted yellow. If the rad [#permalink]

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New post 24 Jan 2018, 08:59
I had the same query as Suramya and Cool Naren. could someone explain why the answer is 4 and not 3?
Re: Two circular road signs are to be painted yellow. If the rad   [#permalink] 24 Jan 2018, 08:59
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