Find the area of shaded region

Dec 2014
153
117
USA
can you post a clean diagram with the correct orientation, please?
 
Dec 2014
153
117
USA
Are points B, O, and Q collinear?
 
Aug 2011
143
1
Yes. It is collinear. Sorry. I am not able to get a clean copy. I am also not tech savvy so that to restore the original image.

Thanks.
 
Dec 2014
153
117
USA
$\Delta BSO \cong \Delta QRO$ by AAS $\implies |RO| = |OS|$

you should now be able to confirm the solution stated in post #5

AREA_shade.jpg
 
  • Like
Reactions: arangu1508
Aug 2011
143
1
I have one doubt whether the point O may vary? If the picture is not scaled.
 
Dec 2014
153
117
USA
if point O is not collinear with points B and Q, then I believe no conclusion of the shaded area can be reached ... that’s why I asked in post #3
 
  • Like
Reactions: arangu1508