

Geometry Problem 487: Intersecting Circles, Area, Diameter, Parallel, 90 Degrees. High School, College, Math Education

The figure shows the circles of
diameter AB and CD with line EAB parallel to CD. The measure of
the arc CD is 90 degrees and A_{1}, A_{2}, and A_{3}
are the areas of the shaded regions. Prove that A_{1} +
A_{2} = A_{3}.



See Also:






Problem 488.
Triangle, Cevian, Concurrency, Circle, Circumcircle. 


Problem 486.
Tangent circles, Chord, Arc, Midpoint, Collinearity, Congruence. 


Problem 485.
Square, Side, Circles, Tangent, Radius, Measurement. 


Problem 484.
Square, Angle, 90 degrees, Triangle, Measurement, Proportion. 


Problem 483.
Square, Angle, 90 degrees, Measurement. 






