The problem describes a circle with a radius of 8 ft. We are asked to find the exact circumference of the circle in terms of $\pi$, and then to approximate the circumference using a calculator, rounding to the nearest hundredth.

1. Problem Description

The problem describes a circle with a radius of 8 ft. We are asked to find the exact circumference of the circle in terms of $\pi$, and then to approximate the circumference using a calculator, rounding to the nearest hundredth.

2. Solution Steps

(a) The formula for the circumference $C$ of a circle with radius $r$ is given by:

$C = 2 \pi r$

Given the radius $r = 8$ ft, we can substitute this value into the formula:

$C = 2 \pi (8)$

$C = 16 \pi$ ft

(b) Using a calculator, we can approximate $\pi \approx 3.14159$.

Therefore, the approximate circumference is:

$C \approx 16 \times 3.14159$

$C \approx 50.26544$

Rounding to the nearest hundredth, we have:

$C \approx 50.27$ ft

3. Final Answer

Exact circumference: $16\pi$ ft

Approximate circumference: $50.27$ ft