Question

1. what is the circumference of a circle with a radius of 16 feet? write your answer in terms of π and rounded to the nearest hundredth.

in terms of π:
rounded:

Explanation:

Step1: Recall the formula for the circumference of a circle

The formula for the circumference \( C \) of a circle is \( C = 2\pi r \), where \( r \) is the radius of the circle.

Step2: Substitute the given radius into the formula

We are given that the radius \( r = 16 \) feet. Substituting \( r = 16 \) into the formula \( C = 2\pi r \), we get \( C = 2\pi\times16 \).

Step3: Simplify the expression for the circumference in terms of \( \pi \)

Simplifying \( 2\pi\times16 \), we have \( C = 32\pi \) feet (this is the circumference in terms of \( \pi \)).

Step4: Calculate the numerical value (rounded to the nearest hundredth)

To find the numerical value, we use \( \pi\approx3.14159 \). So, \( C = 32\times3.14159 \approx 100.53 \) feet (rounded to the nearest hundredth).

Answer:

In terms of \( \pi \): \( 32\pi \) feet
Rounded: \( 100.53 \) feet