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no wait

|dw:1401618750847:dw|

|dw:1401618885857:dw|

is the answer|dw:1401618840569:dw|

the answer is ratio of the area of the shaded region to total area.

|dw:1401619212117:dw|

@bswan this is obtuse
|dw:1401619197813:dw|

There certainly "appears" to be an obtuse angle at C .

|dw:1401619275225:dw|

@bswan |dw:1401619255446:dw| and this is obtuse. And hence the answer I previously proposed.

@myko we also need to include the area of the smaller circle.

it is included

bigger circle includes the small one

I meant that the double shaded area must cover the smaller circle too.

no

so, it looks like it need to be qualified with the condition that R > 1 .

yes

@myko and @Miracrown |dw:1401619632107:dw| is angle C not obtuse here?

△ABC means the angle at vertex B @nipunmalhotra93

C "is" obtuse for that diagram, yes

@myko dude... that means Triangle ABC.

oh, never mind. You right

|dw:1401619854190:dw|

read it bad

np... that happens... :)

<4 correction

I think you can just say that R > 1. If R <= 1 , the prob (obtuse angle) = 1 .

Very interesting problem, that was.