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see the attachment...
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Here given: PQ = 11
distance between
Line PQ and line MN is 6
If distance between PQ and MN is 6
According to this theorem
Perpendicular drawn to chord from centre of its circle bisects the chord
So, if AOB = 6cm
then AO = 1/2 × AOB
AO = 1/2 × 6
= 3cm
According to this theorem perpendicular drawn from centre of circle.
Circle to its chord bisects the chord.
PA= 1/2×PQ
PA= 1/2×115.5
= 5:5
Applying phythagoran theoram
= Base×Height
=(5.5)^2 + (3)^2
=30.25+9
=(39.25)^2
=6.25cm
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