Question

the Diameter of the Circle measure: 28 ftwhat is the Circumference of the Circle?use 3.14 for pie do Not round

Answer 1

Solution:

Given the circle with diameter AB as shown below

The circumference of the circle is expressed as

$\begin{gathered} \text{Circumference = 2}\times\pi\times r\text{ ----- equation 1} \\ \text{where} \\ r\text{ is the radius of the circle.} \\ \text{The radius of the circle is } \\ r=\frac{\text{diameter of the circle}}{2} \\ \Rightarrow diameter\text{ =2r} \end{gathered}$

Thus, equation 1 becomes

$\begin{gathered} \text{Circumference = }\pi\times\text{ diameter of the circle ---- equation 2} \\ (\sin ce\text{ diameter = 2}\times r) \end{gathered}$

Given that the diameter AB of the circle is 28 ft, the circumference of the circle will be evaluated as

$\begin{gathered} \text{Circumference = }\pi\times\text{ diameter of the circle} \\ =3.14\times28 \\ \text{Circumference =}87.92\text{ ft} \end{gathered}$

Hence, the circumference of the circle is 87.92 ft.