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If 20 circular pepperoni slices each with a 1 inch-diameter cover a ci

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Intern
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Joined: 10 Apr 2016
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If 20 circular pepperoni slices each with a 1 inch-diameter cover a ci  [#permalink]

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New post 08 Sep 2016, 19:11
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A
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Question Stats:

91% (00:59) correct 9% (00:42) wrong based on 35 sessions

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If 20 circular pepperoni slices each with a 1 inch-diameter cover a circular pizza pie with diameter 14 inches, what fraction of the pizza is covered with pepperoni slices?

a)5/49
b)3/49
c)7/49
d)6/79
e)9/79
Senior Manager
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Location: United States
Concentration: General Management, International Business
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Re: If 20 circular pepperoni slices each with a 1 inch-diameter cover a ci  [#permalink]

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New post 08 Sep 2016, 19:38
PawanRamnani1234 wrote:
If 20 circular pepperoni slices each with a 1 inch-diameter cover a circular pizza pie with diameter 14 inches, what fraction of the pizza is covered with pepperoni slices?

a)5/49
b)3/49
c)7/49
d)6/79
e)9/79


Need help in solution.


One piece of pepperoni slice has surface area of \(\pi * (\frac{1}{2})^2 = \frac{\pi}{4}\)
So 20 slides has surface area of \(20 * \frac{\pi}{4} = 5 * \pi\)

Area of whole pizza is \(\pi * 7^2\)
Fraction covered = \(\frac{{5 *\pi }}{{\pi * 49}} = \frac{5}{49}\)
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Re: If 20 circular pepperoni slices each with a 1 inch-diameter cover a ci  [#permalink]

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New post 16 Sep 2017, 11:54
If 20 circular pepperoni slices each with a 1 inch-diameter =>
No. of slices =20, r = 0.5 =1/2 => Area = 20* pi* (1/2)^2 =5*pi

cover a circular pizza pie with diameter 14 inches, =>
r of pizza = 7 , Area =pi* 7^2 = 49*pi

what fraction of the pizza is covered with pepperoni slices = \frac{5*pi}{49*pi) = \frac{5}{49}

Answer: A
Re: If 20 circular pepperoni slices each with a 1 inch-diameter cover a ci &nbs [#permalink] 16 Sep 2017, 11:54
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