Question

the circumference of a circle is $10\pi$ m. find its diameter, in meters.

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: Substitute given value

Substitute $C = 10\pi$ into the formula:
$10\pi = \pi d$

Step3: Solve for diameter $d$

Divide both sides by $\pi$:
$d = \frac{10\pi}{\pi} = 10$

Answer:

10 meters