Question

X

GEOMETRY-3/3
A unicycle wheel has a diameter of 14 inches and a radius of 7
inches. How many inches will the unicycle travel in 5 revolutions
?
Use π = 3.14 and round your answer to the nearest hundredth
of an inch.
→

Answer 1

219.8 inches

Explanation:

Calculating the circumference of circle on which the unicycle travel :

`\rightarrow{\bold{C = 2\pi r}}`

• ↝ C = circumference
• ↝ π = 3.14
• ↝ r = radius

Putting all the given values in the formula:

`\begin{gathered}\mapsto{\sf{C = 2\pi r}} \\ \\ \mapsto{\sf{C = 2 * 3.14 * 7}} \\ \\ \mapsto{\sf{C = 6.28 * 7}} \\ \\ \mapsto{\sf{C = 43.96 \: {} }}\end{gathered}`

Thus, the circumference of circle is 43.96 inches.

`\begin{gathered}\end{gathered}`

Now, we know that unicycle covers 43.96 inches in one revolution. So, calculating the path travel in 5 inches:

`\begin{gathered} \leadsto\sf{5 * 43.96} \\ \\ \leadsto\sf{219.8}\end{gathered}`

Hence, the unicycle will travel 219.8 inches in 5 revolution.

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