SOLUTION: http://i.imgur.com/Ng3QBXW.jpg In the figure above, each of two circles has the same center O.If OP:OQ 3:5 and the area of the shaded region is 40. what is the area of the large

The area of the region between the two circles is given to be 40. 

Since , then

Choose k be such that OP = 3k, OQ = 5k, 

then OS = 3k, SQ = 2k

Radius of smaller circle = 3k
Radius of larger circle = 5k

 

Area of larger circle =  = 
Area of smaller circle =  = 

Area of region between circles =  = 

And since the area of the region between the two circles is given to be 40, 





Area of larger circle =  =  = 

Edwin