Question

the circumference of a circle is 94.2 centimeters. what is the circles radius? round your answer to the nearest hundredth

Explanation:

Step1: Recall the circumference formula

The formula for the circumference of a circle is $C = 2\pi r$, where $C$ is the circumference and $r$ is the radius. We know $C=94.2$ cm and $\pi\approx3.14$.

Step2: Solve for the radius

We can rewrite the formula as $r=\frac{C}{2\pi}$. Substitute $C = 94.2$ and $\pi = 3.14$ into the formula: $r=\frac{94.2}{2\times3.14}$.
First, calculate the denominator: $2\times3.14 = 6.28$.
Then, calculate $r$: $r=\frac{94.2}{6.28}=15.00$ cm.

Answer:

15.00 cm