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Re: The circle with center O has a circumference of [#permalink]
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We do have also our math book

https://gre.myprepclub.com/forum/gre-math- ... -2609.html

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Re: The circle with center O has a circumference of [#permalink]
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Start by finding the radius/diameter: if the circumference is 12pi*sqrt3, then this means pi*d = 12pi*sqrt3 or d = 12sqrt3.

Furthermore, if AC is a diameter, we know the angle at B to be 90 degrees. This means that the entire triangle is a 30-60-90 triangle with proportions x:xsqrt3:2x.

That means that, in this case, our x would be opposite the 30--that's the one we're looking for.

We know of course that the 2x, our AC, is 12sqrt3. This implies of course that x, our AB, is 6sqrt3.
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Re: The circle with center O has a circumference of [#permalink]
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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