Question

the radius of a circle is 8 kilometers. what is the circles circumference? round your answer to the nearest hundredth. kilometers

Explanation:

Step1: Recall the formula for the circumference of a circle

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 know the radius \( r = 8 \) km, so we can use \( C = 2\pi r \).

Step2: Substitute the value of \( r \) into the formula

Substitute \( r = 8 \) into \( C = 2\pi r \), we get \( C=2\times\pi\times8 \).

Step3: Calculate the value

First, \( 2\times8 = 16 \), so \( C = 16\pi \). Using \( \pi\approx3.14159 \), we have \( C\approx16\times3.14159 = 50.26544 \).

Step4: Round to the nearest hundredth

Rounding \( 50.26544 \) to the nearest hundredth, we look at the thousandth place which is 5. Since 5 is greater than or equal to 5, we round up the hundredth place. So \( 50.26544\approx50.27 \).

Answer:

50.27