fashionbloger04 fashionbloger04
  • 17-02-2020
  • Mathematics
contestada

The radius of a circle is 14. Using π, which equation expresses the ratio of the circumference of the circle to the circle's diameter?

Respuesta :

Poltergeist
Poltergeist Poltergeist
  • 23-02-2020

Answer:

[tex]\dfrac{c}{28}=\pi[/tex]

Step-by-step explanation:

The circumference [tex]c[/tex] of circle of radius [tex]r[/tex] is given by

[tex]c=2\pi r[/tex],

and the diameter [tex]d[/tex] is 2 times the radius:

[tex]d=2r[/tex].

Therefore, the ratio of the circumference to the diameters is

[tex]\dfrac{c}{d}=\dfrac{2\pi r}{2r}[/tex]

[tex]\dfrac{c}{d}=\pi[/tex].

Putting in [tex]d= 2r =28[/tex], we get

[tex]\boxed{ \dfrac{c}{28}=\pi}[/tex]

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