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# Given that a “12-inch pizza” means circular pizza with a diameter of 1

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Math Expert
Joined: 02 Sep 2009
Posts: 44290
Given that a “12-inch pizza” means circular pizza with a diameter of 1 [#permalink]

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02 Mar 2015, 08:23
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Given that a “12-inch pizza” means circular pizza with a diameter of 12 inches, changing from an 8-inch pizza to a 12-inch pizza gives you approximately what percent increase in the total amount of pizza?

(A) 33
(B) 50
(C) 67
(D) 80
(E) 125

Kudos for a correct solution.
[Reveal] Spoiler: OA

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Manager
Status: Gmat Prep
Joined: 22 Jul 2011
Posts: 74
Re: Given that a “12-inch pizza” means circular pizza with a diameter of 1 [#permalink]

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02 Mar 2015, 09:10
1
KUDOS
area of 8 inch pizza= 4*4*pi=16 pi
area of 12 inch pizza =6*6*pi=36 pi

20/16*100=125% increase

36> 32(100% increase) hence its greater than 100% hence its option E as its only option with 100+ hence answer is E
Senior Manager
Joined: 28 Feb 2014
Posts: 296
Location: United States
Concentration: Strategy, General Management
Re: Given that a “12-inch pizza” means circular pizza with a diameter of 1 [#permalink]

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02 Mar 2015, 19:08
1
KUDOS
Bunuel wrote:
Given that a “12-inch pizza” means circular pizza with a diameter of 12 inches, changing from an 8-inch pizza to a 12-inch pizza gives you approximately what percent increase in the total amount of pizza?

(A) 33
(B) 50
(C) 67
(D) 80
(E) 125

Kudos for a correct solution.

(36$${pi}$$-16$${pi}$$)/(16$${pi}$$) = 5/4

125%

SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1838
Location: India
Concentration: General Management, Technology
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Re: Given that a “12-inch pizza” means circular pizza with a diameter of 1 [#permalink]

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02 Mar 2015, 22:25
1
KUDOS

Area $$= \pi r^2$$ ( $$\pi$$ is constant, no need not be considered for the required calculation)

Variable increase is from $$4^2 to 6^2$$

Percent increase $$=\frac{(36-16)*100}{16} = 125$$
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Math Expert
Joined: 02 Sep 2009
Posts: 44290
Re: Given that a “12-inch pizza” means circular pizza with a diameter of 1 [#permalink]

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08 Mar 2015, 14:05
1
KUDOS
Expert's post
Bunuel wrote:
Given that a “12-inch pizza” means circular pizza with a diameter of 12 inches, changing from an 8-inch pizza to a 12-inch pizza gives you approximately what percent increase in the total amount of pizza?

(A) 33
(B) 50
(C) 67
(D) 80
(E) 125

Kudos for a correct solution.

MAGOOSH OFFICIAL SOLUTION:

The 8-inch pizza has a radius of r = 4, so the area is $$A=16\pi$$. That area is how much pizza you get. The 12-inch pizza has a radius of r = 6 and an area of $$A=36\pi$$. When you change from 16 to 36, what is the percentage change? Well, that’s more than double, so it must be a percent greater than 100%. The only answer choice greater than 100% is answer E.
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Posts: 25
Given that a “12-inch pizza” means circular pizza with a diameter of 1 [#permalink]

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15 Oct 2017, 04:28
A diameter of 12 means a radius of 6 and an area of 36π.
A diameter of 8 means a radius of 4 and an area of 16π.

An increase of 125% from 16π to 36π.

E.
Given that a “12-inch pizza” means circular pizza with a diameter of 1   [#permalink] 15 Oct 2017, 04:28
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