Question

the diameter of a circle is 34 feet. what is the circles circumference? round your answer to the nearest hundredth. feet

Explanation:

Step1: Recall the formula for circumference

The formula for the circumference \( C \) of a circle when the diameter \( d \) is known is \( C = \pi d \).

Step2: Substitute the given diameter

We know that \( d = 34 \) feet. Substituting this into the formula, we get \( C=\pi\times34 \). Using \( \pi\approx3.14159 \), we calculate \( 34\times3.14159 \approx 106.81406 \).

Step3: Round to the nearest hundredth

Rounding \( 106.81406 \) to the nearest hundredth (two decimal places), we look at the third decimal place which is 4. Since \( 4 < 5 \), we round down. So the circumference is approximately \( 106.81 \) feet.

Answer:

\( 106.81 \)