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A regular polygon of 24 sides is inscribed in a circle.
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12 Mar 2019, 10:45
12 Mar 2019, 10:45
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A regular polygon of 24 sides is inscribed in a circle.
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
The perimeter of the polygon |
The circumference of the circle |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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Posts: 6218
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Re: A regular polygon of 24 sides is inscribed in a circle.
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13 Mar 2019, 09:25
13 Mar 2019, 09:25
3
Carcass wrote:
A regular polygon of 24 sides is inscribed in a circle.
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
The perimeter of the polygon |
The circumference of the circle |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
The key information here is that the polygon is inscribed in a circle.
This means all sides of the polygon are INSIDE the circle.
Consider this 12-sided polygon inscribed in a circle (the results here can be expanded to a 24-sided polygon).
Now consider points A and B.
We can see that the distance from A to B along the STRAIGHT line is shorter than the distance along the CURVE
So, we can say that the sum of all of the STRAIGHT lines must be shorter than the sum of the CURVED distances.
In other words, the perimeter of the polygon must be less than the sum of the circumference of the circle.
Answer: B
Cheers,
Brent
Re: A regular polygon of 24 sides is inscribed in a circle.
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08 Aug 2021, 07:21
08 Aug 2021, 07:21
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
