Question

the circumference of a circle is b inches. the radius of the same circle is 6 inches. which expression best represents the value of π?
○ $\frac{6}{b}$
○ $\frac{b}{6}$
○ $\frac{b}{12}$
○ $\frac{12}{b}$

Explanation:

Step1: Recall circle - circumference formula

The formula for the circumference of a circle is $C = 2\pi r$, where $C$ is the circumference and $r$ is the radius.

Step2: Substitute given values

We know that $C = B$ and $r = 6$. Substituting into the formula $B=2\pi\times6$.

Step3: Solve for $\pi$

First, simplify the right - hand side: $B = 12\pi$. Then, divide both sides of the equation by 12 to isolate $\pi$. We get $\pi=\frac{B}{12}$.

Answer:

$\frac{B}{12}$