Online Geometry theorems, problems, solutions, and related topics.
See complete Problem 76Area of a Circle, Square, Circular Sector, Lune. Level: High School, SAT Prep, College geometryPost your solutions or ideas in the comments.
Let the white region have an area WThen:pi/4 - (S1 + S2 + S3) = W -> (1)Which is also equal to Area of circle - Area of Blue region Area of Circle in center of square of side 1 = pi(0.5)^2 = pi/4Therefore W = pi/4 - S -> (2)ie. pi/4 -(S1 + S2 + S3) = pi/4 -S => S1 + S2 + S3 = S