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3
2014 Guts #3: Hexagon, Circle, and Rectangle
2014 Guts #3: Hexagon, Circle, and Rectangle
Source:
February 25, 2014
geometry
rectangle
ratio
Problem Statement
[4] Let
A
B
C
D
E
F
ABCDEF
A
BC
D
EF
be a regular hexagon. Let
P
P
P
be the circle inscribed in
△
B
D
F
\triangle{BDF}
△
B
D
F
. Find the ratio of the area of circle
P
P
P
to the area of rectangle
A
B
D
E
ABDE
A
B
D
E
.
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