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The perpendicular from the centre of a circle to a chord is 16 cm. If the diameter of the circle is 40 cm, what is the length of the chord ?
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- 12 cm
- 16 cm
- 24 cm
- 30 cm
- 12 cm
Correct Option: C
As per the given in question , we draw a figure of a circle with centre O,
Give , AC = CB
OC = 16 cm.
OA = 20 cm.
∴ AC = √OA² - CB²
AC = √20² - 16²
AC = √400 - 256
AC = √144 = 12 cm.
∴ AB = 2 AC = 24 cm.