Question

the circumference of a circle is 56.52 millimeters. what is the circles diameter? round your answer to the nearest hundredth.

Explanation:

Step1: Recall the circumference formula

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

Step2: Solve for the diameter

We know that $C = 56.52$ mm and $C=\pi d$. So, $d=\frac{C}{\pi}$. Substituting $C = 56.52$ into the formula, we get $d=\frac{56.52}{\pi}$.

Step3: Calculate the value

Taking $\pi\approx3.14$, we have $d=\frac{56.52}{3.14}=18.00$ mm.

Answer:

$18.00$ mm