Geometry Problem 1364: Square, Inscribed Circle, Area, Angle Bisector, Perpendicular, 45 Degrees, Chord, Parallel Sketch, iPad Apps.

Proposition

A circle is inscribed inside an 8 x 8 square ABCD as shown on the figure. AMPN is a 7 x 5 rectangle. From point P, draw EF // AD, GH // CD, JK bisector of angle EPG and LQ bisector of angle GPF. There are 4 red areas bounded by these 4 lines and the circle. Find the sum of red areas. This entry contributed by Peter Tran, California , U.S.A..
 


Geometry Problem 1364: Square, Inscribed Circle, Area, Angle Bisector, Perpendicular, 45 Degrees, Sketch, iPad Apps


Sketch and Typography of problem 1364 using iPad Apps


Sketch and typography of Geometry Problem 1364, Square, Inscribed Circle, Area, Angle Bisector, Perpendicular, 45 Degrees using iPad Apps, Tutor