Question

the radius of a circle is 14.2 in. find the circumference to the nearest tenth.

Explanation:

Step1: Recall circumference formula

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

Step2: Substitute given radius

Substitute $r = 14.2$ into the formula:
$C = 2\pi(14.2) = 28.4\pi$

Step3: Calculate numerical value

Use $\pi \approx 3.1416$:
$C \approx 28.4 \times 3.1416 \approx 89.22144$

Step4: Round to nearest tenth

Round $89.22144$ to one decimal place:
$C \approx 89.2$

Answer:

89.2 inches