4. Find the length of a chord, which is at a distance of 24 cm from the centre of a circle whose
diameter is 50 cm.
(a) 12 cm (b) 14 cm (c) 16 cm (d) 15 cm
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H
2
=B
2
+P
2
Then given that
Distance between chord from radius =5 cm
Length of chord =24 cm
H
2
=B
2
+P
2
H=
(12)
2
+(5)
2
⇒H=
144+25
⇒H=
169
⇒H=
(13)
2
⇒H=13cm
∴ Radius of the circle =13 cm.
Diameter of the circle =2×radius=2×13=26cm.
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