Question

the diameter of a circle is 8 centimeters. what is the circles circumference? round your answer to the nearest hundredth. centimeters submit

Explanation:

Step1: Recall the formula for the circumference of a circle

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

Step2: Substitute the given diameter into the formula

We are given that the diameter \( d = 8 \) centimeters. Substituting this into the formula, we get \( C=\pi\times8 \). Using the approximation \( \pi\approx3.14159 \), we calculate \( C = 8\times3.14159=25.13272 \).

Step3: Round to the nearest hundredth

Rounding \( 25.13272 \) to the nearest hundredth (two decimal places), we look at the third decimal place which is \( 2 \). Since \( 2<5 \), we round down. So the circumference is approximately \( 25.13 \) centimeters.

Answer:

\( 25.13 \)