Question

classify the variable according to the set of numbers that best describes its values. the circumference c of a circle found by using the formula c = 2πr. choose the correct answer below. rational numbers integers irrational numbers natural numbers

Explanation:

Step1: Recall number - set definitions

Rational numbers are of the form $\frac{a}{b}$ where $a,b\in\mathbb{Z}$ and $b
eq0$. Integers are whole numbers and their negatives. Natural numbers are positive whole numbers. Irrational numbers cannot be written as a fraction.

Step2: Analyze the formula $C = 2\pi r$

The number $\pi$ is an irrational number. When we multiply $\pi$ by a non - zero rational number (in the formula $2r$, where $r$ can be rational), the result $C=2\pi r$ is an irrational number (since the product of a non - zero rational number and an irrational number is irrational).

Answer:

irrational numbers