Question

A unicycle wheel has a diameter of 12 inches. How many inches will the unicycle travel in 6 revolutions? Round your answer to the nearest hundredth of an inch.

Answer 1

226.19 inches

Explanation:

Diameter of the unicycle's wheel=12 inches

The distance traveled by the unicycle in one revolution is the circumference of the wheel.

For a circle of diameter d,

Circumference
`=\pi d`

Therefore, Circumference of the Unicycle's wheel
`=12\pi` inches

Since the distance traveled in one revolution=
`12\pi` inches

Distance traveled in 6 revolutions=6 X
`12\pi` inches

=226.19 inches (to the nearest hundredth of an inch.)

Answer 2

The unicycle would travel 226.29 inches in 6 revolutions.

Explanation:

A unicycle wheel is a one wheeled device, unlike the bicycle which has two wheels.

The given unicycle has a diameter, D, of 12 inches. It's radius, r, can be determined by;

r =
`(D)/(2)`

=
`(12)/(2)`

= 6

∴ r = 6 inches.

A revolution is a complete movement of a point forming a circle, or the movement of a point along the circumference of a circle.

Circumference of a circle = 2
`\pi`r

Thus,

the circumference of the wheel = 2 ×
`(22)/(7)` × 6

= 37.7143

The circumference of the wheel is 37.7143 inches.

Therefore, for 6 revolutions the unicycle would travel:

6 × 37.7143

= 226.2857

The unicycle would travel 226.29 inches in 6 revolutions.