The radius of a circle is 7 cm. Find the perpendicular distance from the centre of the circle to the chord which is 10 cm in length
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By the property of circle that
Perpendicular drawn from centre to chord bisects the chord.
Using Pythagoras theorem, H=radius of circle=25cm.
P=perpendicular distance=7,and 'l' be the length of half chord(Since perpendicular to a chord from centre of circle bisects the chord)..
l=
H
2
–P
2
=5cm
AM=
AO
2
–OM
2
AM=
25
2
–7
2
=cm
AM=24cm
AB=2.AM
AB=48cm
Therefore the length of chord will be 48cm.
So, option B will be the answer.
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