A circle has a circumference that is greater than 8 meters. The inequality 3.14 d greater-than 8 can be used to determine the possible lengths of the diameter of the circle. What are the possible values of d, the length of the diameter in meters?

Respuesta :

Answer:

The possible values of d, the length of the diameter is d > 2.55 meters.

Step-by-step explanation:

The circumference of a circle is:

[tex]C=2\pi r=\pi\ d[/tex]

Here,

C = circumference

r = radius

d = diameter

It is provided that the circumference is greater than 8 meters.

That is,

[tex]C>8\\\pi\cdot d>8[/tex]

Use the value of π as 3.14.

Compute the range of values of d as follows:

[tex]\pi\cdot d>8\\\\3.14\times d>8\\\\d>\frac{8}{3.14}\\\\d>2.55[/tex]

The diameter of the circle is greater than 2.55 meters.

Thus, the possible values of d, the length of the diameter is d > 2.55 meters.

Answer:

To simplify the answer above, D

Step-by-step explanation: