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18 Mar 2012, 11:05
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
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Question Stats:
93% (00:48) correct
7%
(01:10)
wrong
based on 392
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A circular pizza is cut into eight wedge-shaped slices of equal size. What is the circumference of the pizza?
(1) The area of each slice measures 2pi square inches.
(2) The pizza measures 8 inches in diameter.
(1) The area of each slice measures 2pi square inches.
(2) The pizza measures 8 inches in diameter.
How come the answer is D?
This is how I doing it
Circumference of the pizza = 2*pi*r
Statement 1
Area of the arc = 2 pi
But we don't have an angle, therefore isn't this statement should be insufficient?
I understand statement B.
Can you please help?
This is how I doing it
Circumference of the pizza = 2*pi*r
Statement 1
Area of the arc = 2 pi
But we don't have an angle, therefore isn't this statement should be insufficient?
I understand statement B.
Can you please help?
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
18 Mar 2012, 13:27
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A circular pizza is cut into eight wedge-shaped slices of equal size. What is the circumference of the pizza?
Here is an example of a circular pizza cut into eight wedge-shaped slices of equal size: 
Pizza.jpeg [ 114.3 KiB | Viewed 17980 times ]
So, as you can see a circular pizza is cut into 8 equal segments.
(1) The area of each slice measures 2pi square inches --> the area of each segments is \(2\pi\) --> the area of the whole pizza \(8*2\pi=16\pi\) --> \(\pi*r^2=16\pi\) --> \(r=4\) --> the circumference is \(2\pi{r}=8\pi\). Sufficient.
(2) The pizza measures 8 inches in diameter --> \(r=4\) --> the circumference is \(2\pi{r}=8\pi\). Sufficient.
Answer: D.
Hope it's clear.
Here is an example of a circular pizza cut into eight wedge-shaped slices of equal size:
Attachment:
Pizza.jpeg [ 114.3 KiB | Viewed 17980 times ]
(1) The area of each slice measures 2pi square inches --> the area of each segments is \(2\pi\) --> the area of the whole pizza \(8*2\pi=16\pi\) --> \(\pi*r^2=16\pi\) --> \(r=4\) --> the circumference is \(2\pi{r}=8\pi\). Sufficient.
(2) The pizza measures 8 inches in diameter --> \(r=4\) --> the circumference is \(2\pi{r}=8\pi\). Sufficient.
Answer: D.
Hope it's clear.
19 Mar 2012, 03:05
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Bunuel - Lovely example thanks. But how come the area will be 2 pi?
