Question

the circumference of a circle is 10π inches. what is the diameter? c = 10π in give the exact answer in simplest form. inches

Explanation:

Step1: Recall circumference formula

$C = \pi d$, where $C$ is circumference and $d$ is diameter.

Step2: Substitute given value

Given $C = 10\pi$, so $10\pi=\pi d$.

Step3: Solve for diameter

Divide both sides by $\pi$. $\frac{10\pi}{\pi}=\frac{\pi d}{\pi}$, then $d = 10$.

Answer:

10 inches