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18 Mar 2012, 11:05
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D
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Difficulty:
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Question Stats:
93% (00:48) correct
7%
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wrong
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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?
18 Mar 2012, 13:27
Kudos
Bookmarks
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 17843 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 17843 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.
General Discussion
19 Mar 2012, 03:05
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Bunuel - Lovely example thanks. But how come the area will be 2 pi?
