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An arc of 55 degrees on circle A has the same length as an arc of 40 degrees on circle B. What is the ratio of the area of circle A to the area of circle B? Express your answer as a common fraction.

 Nov 10, 2019
edited by mathleteig  Nov 10, 2019
 #1
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A solution by Art of Problem Solving

 

 Nov 10, 2019
 #2
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That is what I got. That is incorrect!

 Nov 10, 2019
 #3
avatar+2863 
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how!!!!????

 

 

that is the OFFICIAL solution by Art of Problem Solving.

 

your teacher may be wrong?

 

 

or is this Dark Magic?

CalculatorUser  Nov 10, 2019
 #4
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No clue.

 Nov 10, 2019
 #7
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MY IQ IS sooo low.

 

I just realized that the solution DOES NOT match your problem!
 

 

However, they use different numbers but ask the same question, so you should get the correct answer using Omi's or AoPs's method.

CalculatorUser  Nov 10, 2019
 #5
avatar+12530 
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An arc of 55 degrees on circle A has the same length as an arc of 40 degrees on circle B. What is the ratio of the area of circle A to the area of circle B? Express your answer as a common fraction.

laugh

 Nov 10, 2019
 #6
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Thanks Omi!

 

Strange, AoPS has some wrong answers....

CalculatorUser  Nov 10, 2019
 #8
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Sorry, but you can't post AoPS problems on the forum. It breaks their code of conduct.

 Nov 10, 2019

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