Respuesta :

Answer:

8 cm

Step-by-step explanation:

The circumference (C) of a circle is

C = π d  ← d is the diameter

Here C = 8π, hence

πd = 8π ( divide both sides by π )

d = [tex]\frac{8\pi }{\pi }[/tex] = 8 cm

A circle is a curve sketched out by a point moving in a plane. The diameter of the circle whose circumference is 8π cm is 8cm.

What is a circle?

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

The circumference of a circle is given by πD, where D is the diameter. Now, the circumference can be written as,

Circumference of the circle = πD

8π cm = πD cm

D = 8 cm

Hence, the diameter of the circle whose circumference is 8π cm is 8cm.

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