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A chord, 7cm long, is drawn in a circle with radius 3.7cm. Calculate the distance...

Mathematics
WAEC 2014

A chord, 7cm long, is drawn in a circle with radius 3.7cm. Calculate the distance of the chord from the centre of the circle
  • A. 0.7cm
  • B. 1.2cm
  • C. 2.0cm
  • D. 2.5cm
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Correct Answer: Option B
Explanation
let the chord be AB = 7cm

radius OA = 3.7cm distance of the = OM using Pythagoras theorem

OA2 = AM2 + OM2

3.72 = 3.52 + OM2

13.69 = 12.25 + OM2

13.69 - 12.25 = OM2

1.44 = OM2

OM = \(\sqrt{1.44}\)

OM = 1.2cm

distance of chord = 1.2cm

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