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diagram?

That would spoil the problem to some extent ;)

would there be 2 circles, one inside and one outside?

There is only one stamp.

well if the edge is outside then the circle must be inscribed inside

|dw:1338096917684:dw|

cant really draw to scale

is that how it should be?

No.

@experimentX got it right in the first time itself.

i'm confused

me too :|

is that \[(\pi -3\sqrt{3})/6\]

No.

|dw:1338097283187:dw|
Not perfect, but I believe the picture should look something like this.

Yes.

And the area we are trying to find is:
|dw:1338097419327:dw|

\[2\int\limits_{0}^{1/2}(\sqrt{2x-x^2} - \sqrt{3}x) dx\]

4pi/3 - 2sqrt3?

I believe Callisto did it :D

It's actually very easy and interesting :)

I never post hard problem(s) ;)

That's kind of you.

No.... you always post difficult problems :|

... I'm still waiting for someone to post answer to your perpendicular tangent question

explanation please

@SmoothMath Hope you don't mind me borrowing your diagram :|
|dw:1338097936559:dw|

Anytime =)

Ehh, that's how I would have done it too. :P

I got a bit caught up on how to justify the third side being 2.

Ah, quite nice.

Guys, you just spoiled the problem for me, ahah

I only know this basic math :(
@FoolForMath How do you solve it?

i made a mistake while integrating.

That's a great way to solve it, Callisto. Better to use basic math whenever you can.

someone should give @SmoothMath a medal

Keep looking ;)

@FoolForMath 's solution is easier to understand :)

Yea maybe - but before the 'key realisation' - we need the 'key visualisation'. :P

yeah she won't, right never does. :P

that*<- Redundant