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Problems
Contests
National and Regional Contests
India Contests
India Pre-Regional Mathematical Olympiad
2015 India PRMO
8
8
Part of
2015 India PRMO
Problems
(1)
PRMO 2015. p8. broken piece of a circular plate made of glass
Source:
4/9/2024
8. The figure below shows a broken piece of a circular plate made of glass. https://cdn.artofproblemsolving.com/attachments/7/3/a49f60d803f802c54e2295932b34579514b4fe.png
C
C
C
is the midpoint of
A
B
AB
A
B
, and
D
D
D
is the midpoint of arc
A
B
AB
A
B
. Given that
A
B
=
24
AB = 24
A
B
=
24
cm and
C
D
=
6
CD = 6
C
D
=
6
cm, what is the radius of the plate in centimetres? (The figure is not drawn to scale.)
geometry