Question

find the circumference and the area of a circle with diameter 8 ft. use the value 3.14 for π, and do not round your answers. be sure to include the correct units in your answers.

Explanation:

Step1: Recall circumference formula

The formula for the circumference of a circle is $C = \pi d$, where $d$ is the diameter. Given $d = 8$ ft and $\pi=3.14$.
$C = 3.14\times8$

Step2: Calculate the circumference

$C=25.12$ ft

Step3: Recall radius - diameter relation

The radius $r$ of a circle is related to the diameter by $r=\frac{d}{2}$. So, $r=\frac{8}{2}=4$ ft.

Step4: Recall area formula

The formula for the area of a circle is $A=\pi r^{2}$. Substitute $r = 4$ ft and $\pi = 3.14$.
$A=3.14\times4^{2}$

Step5: Calculate the area

$A = 3.14\times16=50.24$ ft²

Answer:

Circumference: $25.12$ ft
Area: $50.24$ ft²