http://i42.tinypic.com/29yh6c6.jpg

I'm really stuck here. I've tried getting the area of the sector/triangle etc. but I'm getting nowhere near that equation. Can anyone please help?

Printable View

- May 31st 2009, 01:44 PMJeWiShConfusing trig shape question
http://i42.tinypic.com/29yh6c6.jpg

I'm really stuck here. I've tried getting the area of the sector/triangle etc. but I'm getting nowhere near that equation. Can anyone please help? - May 31st 2009, 02:05 PMamitface
We know the area of the sector is . The area of the triangle is . (do you see why?). So the area of the shaded region is , where is the length of the side of the square.

But we can find in terms of using Law of Cosines. .

The equation should follow with a little bit of algebra.