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Answer = E = 125

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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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


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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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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.
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Hello from the GMAT Club BumpBot!

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