Question

find the area and the circumference 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: Find the radius

The radius $r$ of a circle is half of the diameter $d$. Given $d = 8$ ft, so $r=\frac{d}{2}=\frac{8}{2}=4$ ft.

Step2: Calculate the area

The formula for the area $A$ of a circle is $A=\pi r^{2}$. Substitute $r = 4$ ft and $\pi=3.14$ into the formula: $A = 3.14\times4^{2}=3.14\times16 = 50.24$ $ft^{2}$.

Step3: Calculate the circumference

The formula for the circumference $C$ of a circle is $C = 2\pi r$ or $C=\pi d$. Using $d = 8$ ft and $\pi = 3.14$, we get $C=3.14\times8=25.12$ ft.

Answer:

Area: $50.24$ $ft^{2}$
Circumference: $25.12$ ft