Question

the circumference of a circle is 94.2 centimeters. what is the circles radius? c = 94.2 cm round your answer to the nearest hundredth. centimeters submit work it out

Explanation:

Step1: Recall the formula for circumference

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

Step2: Solve for \( r \)

We know \( C = 94.2\) cm. Rearranging the formula \( C = 2\pi r \) for \( r \), we get \( r=\frac{C}{2\pi} \).
Substitute \( C = 94.2\) into the formula: \( r=\frac{94.2}{2\times3.14} \).
First, calculate \( 2\times3.14 = 6.28 \).
Then, \( r=\frac{94.2}{6.28}=15.00 \) (since \( 94.2\div6.28 = 15\) exactly).

Answer:

15.00 centimeters