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The diameter of a circle is 25cm and a chord of the same circle is 16cm. To the nearest tenth, what is the distance from the chord to the center of the circle

Respuesta :

mhanifa

Answer:

  • 9.6 cm

Step-by-step explanation:

The segment from the center to the chord forms a right triangle with one leg as half the chord and hypotenuse as the radius.

Use Pythagorean to find the length of the missing leg d

  • [tex]d^2=(25/2)^2-(16/2)^2[/tex]
  • [tex]d^2=(12.5)^2-(8)^2[/tex]
  • [tex]d^2=92.25[/tex]
  • [tex]d=\sqrt{92.25} =9.6[/tex] cm (rounded)

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