Question

1. the circumference of a penny is about 59.817 millimeters. what is the diameter of the penny?

Explanation:

Step1: Recall circumference formula

The formula for the circumference of a circle is $C = \pi d$, where $C$ is circumference and $d$ is diameter.

Step2: Rearrange for diameter

Isolate $d$ by dividing both sides by $\pi$:
$d = \frac{C}{\pi}$

Step3: Substitute given value

Plug in $C = 59.817$ mm:
$d = \frac{59.817}{\pi}$

Step4: Calculate the value

Use $\pi \approx 3.1416$:
$d \approx \frac{59.817}{3.1416} \approx 19.04$

Answer:

The diameter of the penny is approximately 19.04 millimeters.