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Is a calculator necessary here?

|dw:1440340144264:dw|

I want to use Heron's Formula and the Law of Cosines, but my gut tells me there's a simpler way haha

|dw:1440351019348:dw|

You can use Hero's formula to find area

Sure. But then you'll eventually have to find the area of this bit here:|dw:1440340728602:dw|

Does the triangle have to be curved sides?
the question says 'curvilinear' triangle

Can you teach me on using the law of cosines in the figure above

Sir, it is the triangle formed inside the three circles

Rein.
I have to teach you the law of cosines? XD

I'm going to need you to play along here, though :)
Talking to walls makes me feel weird HAHA

find one angle by cos formula
to find other angles you can also use sin formula

\[\cos Q=\frac{ PQ^2+QR^2-PR^2 }{ 2PQ*QR }\]