Question

a football team stood in a circle before a game to plan their strategy. the circle they formed had a diameter of 2 yards. what is the circles circumference? if necessary, round your answer to the nearest hundredth. yards

Explanation:

Step1: Recall the formula for circumference

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

Step2: Substitute the given diameter

Given \(d = 2\) yards. Substitute into the formula: \(C=\pi\times2\).

Step3: Calculate the value

Using \(\pi\approx3.14159\), then \(C = 2\times3.14159=6.28318\).

Step4: Round to the nearest hundredth

Rounding \(6.28318\) to the nearest hundredth (two decimal places), we look at the third decimal digit. Since \(3\lt5\), we keep the second decimal digit as is. So \(C\approx6.28\).

Answer:

\(6.28\)