If the radius of the quarter circle is r, it has area pi*r^2/4. The half circles each have area pi*r^2/8, so their combined area should equal the area of the quarter circle. If the overlap is O for Orange, we have 2(pi*r^2/8)-O + W(hite) = pi*r^2/4. Hence O = W
I don't understand your O=W result, but I think you got the main point right:The area of the quarter circle equals the area of the two (white) half circles;but we also have: area of quarter circle = green area + area of two white half circles - orange area. It follows that O = G.
Yes, I meant G, not W.Doh!
Post a Comment