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 Problems

Ten problems: 1361-1370

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Open Problems

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Circle

Square

Angle Bisector

Perpendicular lines

45 degrees

Angles

Areas

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