Question

The wheel on a large circus unicycle has an area of 19.625 ft^2. What is the length of the radius of the wheel? Round your answer to two decimal places

Answer 1

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

`A=\pi r^2`

Given the area, A and radius, r below as

`\begin{gathered} A=19.625ft^2 \\ taking\text{ }\pi=3.14 \end{gathered}`

Substituting for A and r into the formula for the area of a cirlce,

`\begin{gathered} A=\pi r^2 \\ 19.625=3.14* r^2 \\ \text{Divide both sides by 3,14} \\ r^2=(19.625)/(3.14)=6.25 \\ \text{Square root of both sides} \\ \sqrt[]{r^2}=\sqrt[]{6.25} \\ r=2.5ft \end{gathered}`

Hence, the radius of the wheel is 2.5ft