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Byju's Answer
Standard IX
Mathematics
Theorem of Equal Chords Subtending Angles at the Center
In the figure...
Question
In the figure O is the centre of the circle. OB = 5 cm, Distance from O to chord AB is 3 cm. Find the length of AB.
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Solution
O
P
2
+
P
B
2
=
O
B
2
⇒
9
+
P
B
2
=
25
⇒
P
B
=
4
∴
A
B
=
8
c
m
Hence, the answer is
8
c
m
.
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