Question

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

Explanation:

Step1: Recall circumference formula

The formula for the circumference of a circle is $C = 2\pi r$, where $C$ is circumference, $r$ is radius, and $\pi \approx 3.1416$.

Step2: Rearrange to solve for $r$

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

Step3: Substitute $C=56.52$

$r = \frac{56.52}{2\times3.1416}$

Step4: Calculate and round

First compute denominator: $2\times3.1416=6.2832$
Then divide: $\frac{56.52}{6.2832} \approx 9.00$

Answer:

9.00 centimeters