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JAMB - Mathematics (2009 - No. 26)

A chord drawn 5 cm away from the center of a circle of radius 13 cm. Calculate the length of the chord?
7cm
9cm
12cm
24cm

Paliwanag

x\(^2\) + 5\(^2\) = 13\(^2\)
x\(^2\) + 25 = 169
x\(^2\) = 144

x = √ 144 

= 12
Length of the chord AB = 2x
2\(\times\)12= 24cm

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