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..
Sketch and Typography of problem 1364 using iPad Apps
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