Question

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?

Answer 1

To simplify the answer above, D

Explanation:

Answer 2

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

Explanation:

The circumference of a circle is:

`C=2\pi r=\pi\ d`

Here,

C = circumference

r = radius

d = diameter

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

That is,

`C>8\\\pi\cdot d>8`

Use the value of π as 3.14.

Compute the range of values of d as follows:

`\pi\cdot d>8\\\\3.14* d>8\\\\d>(8)/(3.14)\\\\d>2.55`

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.