Question

circle p has a circumference of approximately 75 inches.
what is the approximate length of the radius, r? use 3.14 for π. round to the nearest inch.
12 inches
24 inches
38 inches
46 inches

Explanation:

Step1: Recall circumference formula

The formula for the circumference of a circle is $C = 2\pi r$, where $C$ is circumference, $\pi=3.14$, and $r$ is radius.

Step2: Rearrange to solve for $r$

Isolate $r$: $r = \frac{C}{2\pi}$

Step3: Substitute given values

Substitute $C=75$, $\pi=3.14$:
$r = \frac{75}{2\times3.14} = \frac{75}{6.28} \approx 11.94$

Step4: Round to nearest inch

Round $11.94$ to the nearest whole number: $12$

Answer:

12 inches