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The lengths of parallel chords which are on opposite sides of the Centre of a
circle are 24 cm and 10 cm. If radius of the circle is 13 cm, then the distance
between these chords is ...............
A) 12 cm B) 10 cm C) 17 cm D) 8 cm

Respuesta :

abidemiokin

The distance between these chords is 12cm

Chord and circles

To get the distance between the chords, we will use the Pythagoras theorem as shown:

Let the required distance be "d"

  • The radius of th circle = 13 cm (hypotenuse)
  • Adjacent side = 10/2 = 5cm

According to the theorem:

[tex]13^2=d^2+5^2\\ d^2=13^2-5^2\\ d^2=169-25\\ d^2=144\\ d =12cm[/tex]

Hence the  distance between these chords is 12cm

Learn more on chords here: https://brainly.com/question/13598644

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