Given a wheel of radius, r,
To find the area of a wheel, the formula will be the area of a cirlce because a wheel is in form of a circle.
The formula for the area, A, of a cirlce is given below as
[tex]A=\pi r^2[/tex]
Given the area, A and radius, r below as
[tex]\begin{gathered} A=19.625ft^2 \\ taking\text{ }\pi=3.14 \end{gathered}[/tex]
Substituting for A and r into the formula for the area of a cirlce,
[tex]\begin{gathered} A=\pi r^2 \\ 19.625=3.14\times r^2 \\ \text{Divide both sides by 3,14} \\ r^2=\frac{19.625}{3.14}=6.25 \\ \text{Square root of both sides} \\ \sqrt[]{r^2}=\sqrt[]{6.25} \\ r=2.5ft \end{gathered}[/tex]
Hence, the radius of the wheel is 2.5ft
