Find the length of chord of a circle whose diameter is 34 cm and distance from the
centre chord is 8 cm.
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Step-by-step explanation:
Given radius of circle = 34 cm
distance of chord form center = 30 cm
Given OA=34cm
OC=30cm
△OAC is right angled
By applying Pythagorean's theorem
OA
2
=OC
2
+AC
2
AC
2
=OA
2
−OC
2
(34)
2
−(30)
2
=1156−900
=256
AC=
256
=16cm
∴ length of chord = 2AC = AB 2(16 cm)
=32cm
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