Respuesta :

rebeccarayshma

Answer:

length of arc:

[tex] \frac{190}{360} \times 64\pi[/tex]

[tex]33.8\pi \: cm[/tex]

diameter of circle

[tex]2\pi {r}^{} = 64\pi[/tex]

[tex] {r}^{} = \frac{64\pi}{2\pi} [/tex]

[tex] {r}^{} = 32cm[/tex]

diameter of circle

= 2r

= 2(32)

= 64 cm

The radius of the given circle is 32 cm and the diameter of the circle is 64 cm.

We have given that,

The circumference of a circle is 64 pi cm.

[tex]\ length \ of \ arc=\frac{190}{360}\times 64\pi\\ length \ of \ arc=33.8\pi[/tex]

What is the circumference of the circle?

[tex]\ circumference \ of \ the \ cirecle=2\pi r[/tex]

Diameter of the circle:

[tex]2\pi r=64\pi[/tex]

[tex]r=64\pi/2\pi \\r=32cm[/tex]

diameter of circle= 2r

Therefore use the above value we get,

= 2(32)

= 64 cm

Therefore the radius of the given circle is 32 cm and the diameter of the circle is 64 cm.

To learn more about the circle visit:

https://brainly.com/question/24375372

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