Answer:
615.75 yd²
Step-by-step explanation:
The Ferris Wheel can be modelled as a circle.
To find its area, we can use the formula for the area of a circle:
[tex]\boxed{\begin{array}{l}\underline{\textsf{Area of a circle}}\\\\A=\pi r^2\\\\\textsf{where:}\\\phantom{ww}\bullet\; \textsf{$A$ is the area.}\\ \phantom{ww}\bullet\;\textsf{$r$ is the radius.}\end{array}}[/tex]
The radius of a circle is half its diameter.
Given that the diameter of the Ferris Wheel is 28 yards, its radius is:
[tex]r = \dfrac{d}{2}=\dfrac{28}{2}=14\; \rm yd[/tex]
To find the area of the Ferris Wheel, substitute r = 14 into the area formula and solve for A:
[tex]A=\pi \cdot 14^2 \\\\ A=\pi \cdot 196 \\\\ A=615.7521601... \\\\ A = 615.75\; \rm yd^2\;(nearest\;hundredth)[/tex]
Therefore, the area of the Ferris Wheel rounded to the nearest hundredth is:
[tex]\Large\boxed{\boxed{615.75\; \rm yd^2}}[/tex]
