Question

the radius of a circle is 46 miles. what is the circles circumference?
round your answer to the nearest hundredth.
miles
submit
work it out

Explanation:

Step1: Recall circumference formula

The formula for the circumference \( C \) of a circle is \( C = 2\pi r \) (where \( r \) is the radius) 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 \( r = 46 \) miles. Substitute into the formula: \( C=2\times\pi\times46 \).

Step3: Calculate the value

First, \( 2\times46 = 92 \), so \( C = 92\pi \). Using \( \pi\approx3.14159 \), we get \( C\approx92\times3.14159 \). Calculate \( 92\times3.14159 = 289.02628 \).

Step4: Round to nearest hundredth

Rounding \( 289.02628 \) to the nearest hundredth (two decimal places), we look at the third decimal digit (6), which is greater than 5, so we round up the second decimal digit. So \( 289.03 \).

Answer:

289.03