Question

The circumference of a circle is 16π m. What is the area, in square meters? Express your answer in terms of pie

Answer 1

The circumference and the area of a circle are given by the formulas below

`\begin{gathered} Circumference\rightarrow C=2\pi r \\ Area\rightarrow A=\pi r^2 \\ r\rightarrow radius \end{gathered}`

Thus, in our case,

`\begin{gathered} C=16\pi \\ \Rightarrow16\pi=2\pi r \\ \Rightarrow r=8 \end{gathered}`

Finding the area,

`\Rightarrow A=\pi *8^2=64\pi`

Then, the area is 64pi m^2