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

  • 0.7cm
  • 1.2cm checkmark
  • 2.0cm
  • 2.5cm

The correct answer is: 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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