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A circle has centre and radius
MATHEMATICS · Subjective · CBSE · Mathematics · Circles · Circles
Problem
A circle has centre
O
O
O
and radius
10
cm
10\,\text{cm}
10
cm
. A chord
A
B
AB
A
B
of the circle is
12
cm
12\,\text{cm}
12
cm
long. (i) Calculate the perpendicular distance from
O
O
O
to
A
B
AB
A
B
. (ii) Another chord
C
D
CD
C
D
of the same circle is at a perpendicular distance of
6
cm
6\,\text{cm}
6
cm
from
O
O
O
. Determine the length of
C
D
CD
C
D
.
Related theory
Pythagoras' Theorem
Triangle Properties
Chord Properties
Circles
Perpendicular from centre to a chord
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