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A chord drawn 5 cm away from the center of a circle of radius 13...

Mathematics
JAMB 2009

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

  • A. 7cm
  • B. 9cm
  • C. 12cm
  • D. 24cm
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Correct Answer: Option D
Explanation

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

There is an explanation video available below.


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Explanation Video

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