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India Contests
Regional Mathematical Olympiad
1992 India Regional Mathematical Olympiad
8
8
Part of
1992 India Regional Mathematical Olympiad
Problems
(1)
One on octagon
Source: Indian RMO 1992 Problem 9
10/15/2005
The cyclic octagon
A
B
C
D
E
F
G
H
ABCDEFGH
A
BC
D
EFG
H
has sides
a
,
a
,
a
,
a
,
b
,
b
,
b
,
b
a,a,a,a,b,b,b,b
a
,
a
,
a
,
a
,
b
,
b
,
b
,
b
respectively. Find the radius of the circle that circumscribes
A
B
C
D
E
F
G
H
.
ABCDEFGH.
A
BC
D
EFG
H
.
geometry
circumcircle
symmetry
trigonometry
trig identities
Law of Cosines