Answer
Circumference of the circle is\[40\pi \text{ m}\]or\[125.7\text{ m}\] and the area of the circle is \[\text{400}\pi \text{ }{{\text{m}}^{2}}\]or\[1,256.6\text{ }{{\text{m}}^{2}}\].
Work Step by Step
The diameter of the circle is 40 meters. Accordingly, the radius will be computed by dividing the diameter by 2. In this way, the radius of the square will be 20 meters.
The circumference of the circle will be computed by multiplying the radius with double the value of pie. Compute the circumference by using formula:
\[\begin{align}
& \text{Circumference of circle}=\text{2}\pi r \\
& =\text{2}\pi \left( \text{20} \right)\text{m} \\
& =\text{40}\pi \text{ m}
\end{align}\]
Now, the area of the circle will be computed by multiplying the square of the radius with the value of pie. Compute the area of the circle by using formula:
\[\begin{align}
& \text{Area of the Circle (}A\text{)}=\pi {{r}^{2}} \\
& =\left( \pi \left( 20 \right){{\text{m}}^{2}} \right) \\
& =400\pi \text{ }{{\text{m}}^{2}}
\end{align}\]
Hence, Circumference of the circle is\[40\pi \text{ m}\]or\[125.7\text{ m}\]and the area of the circle is \[\text{400}\pi \text{ }{{\text{m}}^{2}}\]or\[1,256.6\text{ }{{\text{m}}^{2}}\].
