Given:
The circumference of the platform is 6.28 yards.
To find: The platform's area
Explanation:
The formula of the circumference of the circle is,
[tex]\begin{gathered} C=2\pi r \\ 6.28=2\times\frac{22}{7}\times r \\ r=6.28\times\frac{1}{2}\times\frac{7}{22} \\ =0.999 \\ \approx1yard \end{gathered}[/tex]The formula of the area of the circle is,
[tex]\begin{gathered} A=\pi r^2 \\ =\frac{22}{7}\times1\times1 \\ =3.137 \\ \approx3.14yards^2 \end{gathered}[/tex]Final answer: The platform's area is 3.14 square yards.
