Answer
The circumference of the circle is$40\pi \text{ ft or 126}\ \text{ft}$and the area of the circle is $400\pi \text{ f}{{\text{t}}^{2}}\text{ or }1,256\text{ f}{{\text{t}}^{2}}$.
Work Step by Step
A circle is a round plane figure whose boundary consisting of points equidistant from a fixed point (center). The area is expressed as the space enclosed between closed figures to the extent of a two-dimensional figure.
Use the formula to compute the circumference of a circle can be shown below,
\[\begin{align}
& \text{Circumference of circle}=2\pi r \\
& =2\times \pi \times 20\text{ ft} \\
& =40\pi \text{ ft}
\end{align}\]
Or, Circumference of circle \[\approx 126\text{ ft}\]
Compute the area of the circle as shown below,
\[\begin{align}
& \text{Area of circle}=\pi {{r}^{2}} \\
& =\pi \times 20\text{ ft}\times 20\text{ ft} \\
& =400\pi \text{ f}{{\text{t}}^{2}}
\end{align}\]
Or, Area of circle \[\approx 1,256\text{ f}{{\text{t}}^{2}}\]
Hence, the circumference and area of the circle calculated using the formula are $40\pi \text{ ft or 126}\ \text{ft}$and$400\pi \text{ f}{{\text{t}}^{2}}\text{ or }1,256\text{ f}{{\text{t}}^{2}}$ respectively.
