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National and Regional Contests
Belgium Contests
Flanders Math Olympiad
1995 Flanders Math Olympiad
3
find circle radius
find circle radius
Source: flanders '95
September 27, 2005
ratio
Problem Statement
Points
A
,
B
,
C
,
D
A,B,C,D
A
,
B
,
C
,
D
are on a circle with radius
R
R
R
.
∣
A
C
∣
=
∣
A
B
∣
=
500
|AC|=|AB|=500
∣
A
C
∣
=
∣
A
B
∣
=
500
, while the ratio between
∣
D
C
∣
,
∣
D
A
∣
,
∣
D
B
∣
|DC|, |DA|, |DB|
∣
D
C
∣
,
∣
D
A
∣
,
∣
D
B
∣
is
1
,
5
,
7
1,5,7
1
,
5
,
7
. Find
R
R
R
.
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