What is the ratio of the Blue area to the Yellow area to the Red area? (A quarter-circle is constructed. A semi-circle is constructed on the radius of the quarter circle. Finally, a circle of maximum radius is inscribed in the semi-circle)
+37146 Orange area is 1/4 pi r^2 (well, the WHOLE quadrant is)
yellow area is 1/2 pi (1/2 r)^2 ( this is the semicircle area....blue will be subtracted shortly)
blue area is pi (1/4r)^2
Divide all be pi
Blue area : yellow semi-circle - blue circle : red quarter - yellow semicircle
1/16 r^2 : 1/8 r^2 - 1/16r^2 : 1/4 r^2 -1/8r^2 Divide out the r^2 and simplify
1/16 : 1/16 : 1/8
1/16 : 1/16 : 1/8
1:1:2
CORRECTED ! THANX to Dragan who noticed my error.....I originally listed the red as an entire quarter and the yellow as a full semicircle !
