Solid Mensuration: Circles: A clue would suffice, please help.

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Solid Mensuration: Circles: A clue would suffice, please help.

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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@ganeshie8 loves geometry!
  • phi
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  • phi
we can write a few equations. the radius of the big circle is 9+x and y+5 so y=x+4 the diameter of the small circle is x + the radius of the big circle or x+x+9 = 2x+9 the radius of the small circle is r= (2x+9)/2 finally we can use pythagoras on the small triangle in the small circle (r-x)^2 + y^2 = r^2 that is enough info to solve for the difference in area between the two circles
Haha phi, you did it just the way I was thinking xD, awesome as always!
Thank you phi! I couldn't see that.

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