Question

the radius of a circle is 2 miles. what is the circles circumference? round your answer to the nearest hundredth. miles submit

Explanation:

Step1: Recall the formula for circumference

The formula for the circumference \( C \) of a circle is \( C = 2\pi r \) or \( C=\pi d \) (where \( d \) is the diameter, and \( d = 2r \)). Here we use \( C = 2\pi r \).

Step2: Substitute the radius value

Given \( r = 2 \) miles. Substitute \( r = 2 \) into the formula \( C = 2\pi r \), we get \( C=2\times\pi\times2 \).

Step3: Calculate the circumference

Simplify the expression: \( C = 4\pi \). Using \( \pi\approx3.14159 \), we have \( C\approx4\times3.14159 = 12.56636 \).

Step4: Round to the nearest hundredth

Rounding \( 12.56636 \) to the nearest hundredth (two decimal places), we look at the third decimal place which is \( 6 \). Since \( 6\gt5 \), we round up the second decimal place. So \( 12.56636\approx12.57 \).

Answer:

12.57