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Is the area of Circle A greater than the area of Circle B?

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Is the area of Circle A greater than the area of Circle B?

by BTGmoderatorDC » Fri Mar 01, 2019 6:59 pm

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Is the area of Circle A greater than the area of Circle B?

1. The ratio of the circumference to the diameter is the same for Circle A as it is for Circle B.

2. The radius of Circle A is one-half the diameter of Circle B.

OA B

Source: Princeton Review
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Source: — Data Sufficiency |

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by Ian Stewart » Sat Mar 02, 2019 4:29 am

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Strange question. The ratio of circumference to diameter for every circle in the universe is π, so Statement 1 tells you nothing.

Circle A's radius is half its own diameter, so if it is also half of B's diameter, they have the same radius, and thus the same area, so Statement 2 is sufficient to give a 'no' answer to the original question, and the answer is B.
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